What is the least common multiple of 39 and 90? (LCM of 39 and 90)?

What is the Least Common Multiple of 39 and 90?

The Least Common Multiple (LCM) of 39 and 90 is the smallest positive number that is a multiple of both 39 and 90.

Here we will show you two different ways to figure out the Least Common Multiple of 39 and 90.

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 39 are:
3 x 13

The prime factor(s) of 90 are:
2 x 3 x 3 x 5

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

2 x 3 x 3 x 5 x 13

Then you can multiply those numbers together to get the Least Common Multiple (LCM) of 39 and 90 as follows:

1170

To find the Least Common Multiple of 39 and 90, you can also make a list of multiples of 39 and a list of multiples of 90.

Multiples of 39 would be 39, 78, 117, 156 and so on.

Multiples of 90 would be 90, 180, 270, 360 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 39 and 90. You will once again see that the answer will be:

1170

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

Prime Factorization of 39

Prime Factorization of 90

Multiples of 39

Multiples of 90