What is the least common multiple of 19 and 16? (LCM of 19 and 16)?

What is the Least Common Multiple of 19 and 16?

The Least Common Multiple (LCM) of 19 and 16 is the smallest positive number that is a multiple of both 19 and 16.

Here we will show you two different ways to figure out the Least Common Multiple of 19 and 16.

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 19 are:
1 x 19

The prime factor(s) of 16 are:
2 x 2 x 2 x 2

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

2 x 2 x 2 x 2 x 19

Then you can multiply those numbers together to get the Least Common Multiple (LCM) of 19 and 16 as follows:

304

To find the Least Common Multiple of 19 and 16, you can also make a list of multiples of 19 and a list of multiples of 16.

Multiples of 19 would be 19, 38, 57, 76 and so on.

Multiples of 16 would be 16, 32, 48, 64 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 19 and 16. You will once again see that the answer will be:

304

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What is the Least Common Multiple of 19 and 17?
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We used used the following sources to solve the problem on this page:

Prime Factorization of 19

Prime Factorization of 16

Multiples of 19

Multiples of 16