What is the LCM of 18 and 30 using prime factorization?

To find the Least Common Multiple (LCM) of 18 and 30 using prime factorization, we first need to break down each number into its prime factors.

The prime factorization of 18 is 2 x 3^2, and the prime factorization of 30 is 2 x 3 x 5.

To find the LCM, we take the highest power of each prime factor that appears in either factorization. Therefore, the LCM of 18 and 30 is 2 x 3^2 x 5, which equals 90.