What is the least common multiple of 11 and 9? (LCM of 11 and 9)?

What is the Least Common Multiple of 11 and 9?

The Least Common Multiple (LCM) of 11 and 9 is the smallest positive number that is a multiple of both 11 and 9.

Here we will show you two different ways to figure out the Least Common Multiple of 11 and 9.

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 11 are:
1 x 11

The prime factor(s) of 9 are:
3 x 3

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

3 x 3 x 11

Then you can multiply those numbers together to get the Least Common Multiple (LCM) of 11 and 9 as follows:

99

To find the Least Common Multiple of 11 and 9, you can also make a list of multiples of 11 and a list of multiples of 9.

Multiples of 11 would be 11, 22, 33, 44 and so on.

Multiples of 9 would be 9, 18, 27, 36 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 11 and 9. You will once again see that the answer will be:

99

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What is the Least Common Multiple of 11 and 10?
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 11

Prime Factorization of 9

Multiples of 11

Multiples of 9