What is the least common multiple (LCM) of 45 and 60?

Explanation

1. 01

   $45 = 3^2 \times 5$ and $60 = 2^2 \times 3 \times 5$.

2. 02

   LCM takes the HIGHEST power of every prime: $2^2 \times 3^2 \times 5$.

3. 03

   $\operatorname{LCM} = 4 \times 9 \times 5 = 180$.