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

May 2, 2016

$180$

#### Explanation:

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

$12 = 2 \times 2 \times 3$

$18 = 2 \times 3 \times 3$

$5 = 5$

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

$180 = 2 \times 2 \times 3 \times 3 \times 5$