What is the least common multiple of 6 and 55? (LCM of 6 and 55)?

What is the Least Common Multiple of 6 and 55?

The Least Common Multiple (LCM) of 6 and 55 is the smallest positive number that is a multiple of both 6 and 55.

Here we will show you two different ways to figure out the Least Common Multiple of 6 and 55.

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 55 are:
5 x 11

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

2 x 3 x 5 x 11

Then you can multiply those numbers together to get the Least Common Multiple (LCM) of 6 and 55 as follows:

330

To find the Least Common Multiple of 6 and 55, you can also make a list of multiples of 6 and a list of multiples of 55.

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

Multiples of 55 would be 55, 110, 165, 220 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 55. You will once again see that the answer will be:

330

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

Prime Factorization of 6

Prime Factorization of 55

Multiples of 6

Multiples of 55