What is the least common multiple of 37 and 14? (LCM of 37 and 14)?

What is the Least Common Multiple of 37 and 14?

The Least Common Multiple (LCM) of 37 and 14 is the smallest positive number that is a multiple of both 37 and 14.

Here we will show you two different ways to figure out the Least Common Multiple of 37 and 14.

Our favorite way is to find the prime factors of each number and then merge them together to get the answer.

The prime factor(s) of 37 are:
1 x 37

The prime factor(s) of 14 are:
2 x 7

Merging them together using the least amount of factors, you get:

2 x 7 x 37

Then you can multiply those numbers together to get the Least Common Multiple (LCM) of 37 and 14 as follows:

518

To find the Least Common Multiple of 37 and 14, you can also make a list of multiples of 37 and a list of multiples of 14.

Multiples of 37 would be 37, 74, 111, 148 and so on.

Multiples of 14 would be 14, 28, 42, 56 and so on.

Now, compare the two lists to find the smallest number the two lists have in common, which is the Least Common Multiple of 37 and 14. You will once again see that the answer will be:

518

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What is the Least Common Multiple of 37 and 15?
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We used used the following sources to solve the problem on this page:

Prime Factorization of 37

Prime Factorization of 14

Multiples of 37

Multiples of 14