Find the LCM of Denominators: 9 and 6 Problem

Question

You have a pair of denominators, what is their least common multiple?

9   6 \boxed 9~~~\boxed 6

Step-by-Step Solution

To find the least common multiple (LCM) of 99 and 66, list the multiples of each number until the smallest common multiple appears.

Multiples of 99: 9,18,27,36,9, 18, 27, 36, \ldots

Multiples of 66: 6,12,18,24,30,6, 12, 18, 24, 30, \ldots

The smallest common multiple is 1818.

Answer

18