What is the lcm of 10 & 15?

1 Answer
GM_Phrostbyte
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#.

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