What is the least common multiple of 13 and 31? (LCM of 13 and 31)?

What is the Least Common Multiple of 13 and 31?

The Least Common Multiple (LCM) of 13 and 31 is the smallest positive number that is a multiple of both 13 and 31.

Here we will show you two different ways to figure out the Least Common Multiple of 13 and 31.

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 13 are:
1 x 13

The prime factor(s) of 31 are:
1 x 31

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

13 x 31

Then you can multiply those numbers together to get the Least Common Multiple (LCM) of 13 and 31 as follows:

403

To find the Least Common Multiple of 13 and 31, you can also make a list of multiples of 13 and a list of multiples of 31.

Multiples of 13 would be 13, 26, 39, 52 and so on.

Multiples of 31 would be 31, 62, 93, 124 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 13 and 31. You will once again see that the answer will be:

403

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What is the Least Common Multiple of 13 and 32?
Go here for the next Least Common Multiple on our list that we calculated.

We used used the following sources to solve the problem on this page:

Prime Factorization of 13

Prime Factorization of 31

Multiples of 13

Multiples of 31