What is the least common multiple of 56 and 25? (LCM of 56 and 25)?

What is the Least Common Multiple of 56 and 25?

The Least Common Multiple (LCM) of 56 and 25 is the smallest positive number that is a multiple of both 56 and 25.

Here we will show you two different ways to figure out the Least Common Multiple of 56 and 25.

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 56 are:
2 x 2 x 2 x 7

The prime factor(s) of 25 are:
5 x 5

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

2 x 2 x 2 x 5 x 5 x 7

Then you can multiply those numbers together to get the Least Common Multiple (LCM) of 56 and 25 as follows:

1400

To find the Least Common Multiple of 56 and 25, you can also make a list of multiples of 56 and a list of multiples of 25.

Multiples of 56 would be 56, 112, 168, 224 and so on.

Multiples of 25 would be 25, 50, 75, 100 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 56 and 25. You will once again see that the answer will be:

1400

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What is the Least Common Multiple of 56 and 26?
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We used used the following sources to solve the problem on this page:

Prime Factorization of 56

Prime Factorization of 25

Multiples of 56

Multiples of 25