What is the least common multiple of 25 and 96? (LCM of 25 and 96)?

What is the Least Common Multiple of 25 and 96?

The Least Common Multiple (LCM) of 25 and 96 is the smallest positive number that is a multiple of both 25 and 96.

Here we will show you two different ways to figure out the Least Common Multiple of 25 and 96.

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 25 are:
5 x 5

The prime factor(s) of 96 are:
2 x 2 x 2 x 2 x 2 x 3

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

2 x 2 x 2 x 2 x 2 x 3 x 5 x 5

Then you can multiply those numbers together to get the Least Common Multiple (LCM) of 25 and 96 as follows:

2400

To find the Least Common Multiple of 25 and 96, you can also make a list of multiples of 25 and a list of multiples of 96.

Multiples of 25 would be 25, 50, 75, 100 and so on.

Multiples of 96 would be 96, 192, 288, 384 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 25 and 96. You will once again see that the answer will be:

2400

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What is the Least Common Multiple of 25 and 97?
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We used used the following sources to solve the problem on this page:

Prime Factorization of 25

Prime Factorization of 96

Multiples of 25

Multiples of 96