# What is the least common multiple of 36 and 54?

Mar 3, 2018

108

#### Explanation:

Use prime factorization on both numbers (prime numbers that when all multiplied together equal the number)
36:
$2 \times 2 \times 3 \times 3$

54:
$2 \times 3 \times 3 \times 3$

Now if you line these factors up, "combine" them, then multiply it out, you'll get the least common multiple.
$2 \times 2 \times 3 \times 3 \times$
$2 \times$$\times 3 \times 3 \times 3$
combined becomes
$2 \times 2 \times 3 \times 3 \times 3 = 108$