What is the least common multiple of 9 and 22? (LCM of 9 and 22)?

What is the Least Common Multiple of 9 and 22?

The Least Common Multiple (LCM) of 9 and 22 is the smallest positive number that is a multiple of both 9 and 22.

Here we will show you two different ways to figure out the Least Common Multiple of 9 and 22.

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 9 are:
3 x 3

The prime factor(s) of 22 are:
2 x 11

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

2 x 3 x 3 x 11

Then you can multiply those numbers together to get the Least Common Multiple (LCM) of 9 and 22 as follows:

198

To find the Least Common Multiple of 9 and 22, you can also make a list of multiples of 9 and a list of multiples of 22.

Multiples of 9 would be 9, 18, 27, 36 and so on.

Multiples of 22 would be 22, 44, 66, 88 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 9 and 22. You will once again see that the answer will be:

198

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What is the Least Common Multiple of 9 and 23?
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 9

Prime Factorization of 22

Multiples of 9

Multiples of 22