Explanation

To find the Least Common Multiple (LCM) of 18, 24, and 36:

Prime factorization:

18 = 2 * 3²

24 = 2³ * 3

36 = 2² * 3²

LCM is the product of the highest powers of all prime factors:

Highest power of 2: 2³ (from 24)

Highest power of 3: 3² (from 18 and 36)

LCM = 2³ * 3² = 8 * 9 = 72