What is the least common multiple of 71 and 99? (LCM of 71 and 99)?

What is the Least Common Multiple of 71 and 99?

The Least Common Multiple (LCM) of 71 and 99 is the smallest positive number that is a multiple of both 71 and 99.

Here we will show you two different ways to figure out the Least Common Multiple of 71 and 99.

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 71 are:
1 x 71

The prime factor(s) of 99 are:
3 x 3 x 11

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

3 x 3 x 11 x 71

Then you can multiply those numbers together to get the Least Common Multiple (LCM) of 71 and 99 as follows:

7029

To find the Least Common Multiple of 71 and 99, you can also make a list of multiples of 71 and a list of multiples of 99.

Multiples of 71 would be 71, 142, 213, 284 and so on.

Multiples of 99 would be 99, 198, 297, 396 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 71 and 99. You will once again see that the answer will be:

7029

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

Prime Factorization of 71

Prime Factorization of 99

Multiples of 71

Multiples of 99