What is the LCM of 2 9 18?

To find the least common multiple (LCM) of 2, 9, and 18, we first need to factorize each number into its prime factors.

2 = 2^1 9 = 3^2 18 = 2^1 * 3^2

Next, we take the highest power of each prime factor that appears in any of the numbers: 2^1 and 3^2.

Multiplying these prime factors together, we get LCM(2, 9, 18) = 2^1 * 3^2 = 2 * 9 = 18.

Therefore, the LCM of 2, 9, and 18 is 18.