# What is the least common multiple of 12, 18, and 5?

##### 1 Answer

May 2, 2016

#### Explanation:

Start by finding the prime factorisations of each of these numbers:

#12 = 2 xx 2 xx 3#

#18 = 2 xx 3 xx 3#

#5 = 5#

So the smallest positive integer that includes all of these factors in these multiplicities is:

#180 = 2 xx 2 xx 3 xx 3 xx 5#