Lcm of 9y^3 and 6y^2

To find the least common multiple (LCM) of 9y^3 and 6y^2, we need to find the highest power of each factor that appears in either number.

The prime factorization of 9y^3 is 3 * 3 * y * y * y, and the prime factorization of 6y^2 is 2 * 3 * y * y.

The LCM will include all the prime factors in both numbers raised to the highest power that appears in either number.

The LCM of 9y^3 and 6y^2 is 3 * 3 * 2 * y * y * y = 18y^3.

Therefore, the LCM of 9y^3 and 6y^2 is 18y^3.