What is the lcm of 14 and 6

The lcm of 6 and 14 is the smallest positive integer that divides the numbers 6 and 14 without a remainder. Spelled out, it is the least common multiple of 6 and 14. Here you can find the lcm of 6 and 14, along with a total of three methods for computing it.

This Least Common Multiple Calculator is Really Cool! Click To TweetIn addition, we have a calculator you should check out. Not only can it determine the lcm of 6 and 14, but also that of three or more integers including six and fourteen for example. Keep reading to learn everything about the lcm (6,14) and the terms related to it.

What is the LCM of 6 and 14

If you just want to know what is the least common multiple of 6 and 14, it is 42. Usually, this is written as

lcm(6,14) = 42

The lcm of 6 and 14 can be obtained like this:

  • The multiples of 6 are … , 36, 42, 48, ….
  • The multiples of 14 are …, 28, 42, 56, …
  • The common multiples of 6 and 14 are n x 42, intersecting the two sets above, .
  • In the intersection multiples of 6 ∩ multiples of 14 the least positive element is 42.
  • Therefore, the least common multiple of 6 and 14 is 42.

Taking the above into account you also know how to find all the common multiples of 6 and 14, not just the smallest. In the next section we show you how to calculate the lcm of six and fourteen by means of two more methods.

How to find the LCM of 6 and 14

The least common multiple of 6 and 14 can be computed by using the greatest common factor aka gcf of 6 and 14. This is the easiest approach:

lcm (6,14) = = 42

Alternatively, the lcm of 6 and 14 can be found using the prime factorization of 6 and 14:

  • The prime factorization of 6 is: 2 x 3
  • The prime factorization of 14 is: 2 x 7
  • Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(6,6) = 42

In any case, the easiest way to compute the lcm of two numbers like 6 and 14 is by using our calculator below. Note that it can also compute the lcm of more than two numbers, separated by a comma. For example, enter 6,14. Push the button only to start over.

Similar searched terms on our site also include:

  • LCM of 6 and 19
  • LCM of 6 and 20
  • LCM of 6 and 21

Use of LCM of 6 and 14

What is the least common multiple of 6 and 14 used for? Answer: It is helpful for adding and subtracting fractions like 1/6 and 1/14. Just multiply the dividends and divisors by 7 and 3, respectively, such that the divisors have the value of 42, the lcm of 6 and 14.

. .

Properties of LCM of 6 and 14

The most important properties of the lcm(6,14) are:

  • Commutative property: lcm(6,14) = lcm(14,6)
  • Associative property: lcm(6,14,n) = lcm(lcm(14,6),n)

The associativity is particularly useful to get the lcm of three or more numbers; our calculator makes use of it.

To sum up, the lcm of 6 and 14 is 42. In common notation: lcm (6,14) = 42.

If you have been searching for lcm 6 and 14 or lcm 6 14 then you have come to the correct page, too. The same is the true if you typed lcm for 6 and 14 in your favorite search engine.

Note that you can find the least common multiple of many integer pairs including six / fourteen by using the search form in the sidebar of this page.

Questions and comments related to the lcm of 6 and 14 are really appreciated. Use the form below or send us a mail to get in touch.

Please hit the sharing buttons if our article about the least common multiple of 6 and 14 has been useful to you, and make sure to bookmark our site.

Thanks for your visit.

The lcm of 14 and 6 is the smallest positive integer that divides the numbers 14 and 6 without a remainder. Spelled out, it is the least common multiple of 14 and 6. Here you can find the lcm of 14 and 6, along with a total of three methods for computing it.

This Least Common Multiple Calculator is Really Cool! Click To TweetIn addition, we have a calculator you should check out. Not only can it determine the lcm of 14 and 6, but also that of three or more integers including fourteen and six for example. Keep reading to learn everything about the lcm (14,6) and the terms related to it.

What is the LCM of 14 and 6

If you just want to know what is the least common multiple of 14 and 6, it is 42. Usually, this is written as

lcm(14,6) = 42

The lcm of 14 and 6 can be obtained like this:

  • The multiples of 14 are … , 28, 42, 56, ….
  • The multiples of 6 are …, 36, 42, 48, …
  • The common multiples of 14 and 6 are n x 42, intersecting the two sets above, .
  • In the intersection multiples of 14 ∩ multiples of 6 the least positive element is 42.
  • Therefore, the least common multiple of 14 and 6 is 42.

Taking the above into account you also know how to find all the common multiples of 14 and 6, not just the smallest. In the next section we show you how to calculate the lcm of fourteen and six by means of two more methods.

How to find the LCM of 14 and 6

The least common multiple of 14 and 6 can be computed by using the greatest common factor aka gcf of 14 and 6. This is the easiest approach:

lcm (14,6) = = 42

Alternatively, the lcm of 14 and 6 can be found using the prime factorization of 14 and 6:

  • The prime factorization of 14 is: 2 x 7
  • The prime factorization of 6 is: 2 x 3
  • Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(14,14) = 42

In any case, the easiest way to compute the lcm of two numbers like 14 and 6 is by using our calculator below. Note that it can also compute the lcm of more than two numbers, separated by a comma. For example, enter 14,6. Push the button only to start over.

Similar searched terms on our site also include:

  • LCM of 14 and 11
  • LCM of 14 and 12
  • LCM of 14 and 13

Use of LCM of 14 and 6

What is the least common multiple of 14 and 6 used for? Answer: It is helpful for adding and subtracting fractions like 1/14 and 1/6. Just multiply the dividends and divisors by 3 and 7, respectively, such that the divisors have the value of 42, the lcm of 14 and 6.

. .

Properties of LCM of 14 and 6

The most important properties of the lcm(14,6) are:

  • Commutative property: lcm(14,6) = lcm(6,14)
  • Associative property: lcm(14,6,n) = lcm(lcm(6,14),n)

The associativity is particularly useful to get the lcm of three or more numbers; our calculator makes use of it.

To sum up, the lcm of 14 and 6 is 42. In common notation: lcm (14,6) = 42.

If you have been searching for lcm 14 and 6 or lcm 14 6 then you have come to the correct page, too. The same is the true if you typed lcm for 14 and 6 in your favorite search engine.

Note that you can find the least common multiple of many integer pairs including fourteen / six by using the search form in the sidebar of this page.

Questions and comments related to the lcm of 14 and 6 are really appreciated. Use the form below or send us a mail to get in touch.

Please hit the sharing buttons if our article about the least common multiple of 14 and 6 has been useful to you, and make sure to bookmark our site.

Thanks for your visit.

What is the lcm of 14 and 6

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 6 and 14.

Follow the steps below, and let's calculate the LCM of 6 and 14.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 6 and 14:

The prime factors of 6 are 2 and 3. Prime factorization of 6 in exponential form is:

6 = 21x31

The prime factors of 14 are 2 and 7. Prime factorization of 14 in exponential form is:

14 = 21x71


Step 2: Identify the highest power of each prime number from the above boxes:


Step 3: Multiply these values together:


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 6 and 14.

The Least Common Multiple of 6 and 14 is 42.


Method 2 - List of Multiples

Find and list multiples of each number until the first common multiple is found. This is the lowest common multiple.


Multiples of 6:

6, 12, 18, 24, 30, 36, 42, 48, 54, 60

Multiples of 14:


Therefore,