What is the least common multiple of 5 and 8? (LCM of 5 and 8)?

What is the Least Common Multiple of 5 and 8?

The Least Common Multiple (LCM) of 5 and 8 is the smallest positive number that is a multiple of both 5 and 8.

Here we will show you two different ways to figure out the Least Common Multiple of 5 and 8.

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 5 are:
1 x 5

The prime factor(s) of 8 are:
2 x 2 x 2

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

2 x 2 x 2 x 5

Then you can multiply those numbers together to get the Least Common Multiple (LCM) of 5 and 8 as follows:

40

To find the Least Common Multiple of 5 and 8, you can also make a list of multiples of 5 and a list of multiples of 8.

Multiples of 5 would be 5, 10, 15, 20 and so on.

Multiples of 8 would be 8, 16, 24, 32 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 5 and 8. You will once again see that the answer will be:

40

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

Prime Factorization of 5

Prime Factorization of 8

Multiples of 5

Multiples of 8