What is the Least Common Multiple of 6 and 54? The Least Common Multiple (LCM) of 6 and 54 is the smallest positive number that is a multiple of both 6 and 54.

Here we will show you two different ways to figure out the Least Common Multiple of 6 and 54.

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 6 are:
2 x 3

The prime factor(s) of 54 are:
2 x 3 x 3 x 3

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

2 x 3 x 3 x 3

Then you can multiply those numbers together to get the Least Common Multiple (LCM) of 6 and 54 as follows:

54

To find the Least Common Multiple of 6 and 54, you can also make a list of multiples of 6 and a list of multiples of 54.

Multiples of 6 would be 6, 12, 18, 24 and so on.

Multiples of 54 would be 54, 108, 162, 216 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 6 and 54. You will once again see that the answer will be:

54

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

Prime Factorization of 6

Prime Factorization of 54

Multiples of 6

Multiples of 54