What is the lcm of 10 & 15?

1 Answer
Apr 10, 2018

30

Explanation:

In general, to find the lowest common multiple, you multiply different factors based on which one has the highest exponent.

The prime factorization of 10:

2^1*5^1

The prime factorization of 15:

3^1*5^1

You can see that we have three different factors (2, 3, and 5). You can see that we have two "5" factors, so choose the one that has the highest exponent. In this case, they are the same, so use one of them.

Multiply:

2^1*3^1*5^1=2*3*5=30

The lcm is 30.