Math Expert Needed!!?

Question

Im wondering if anyone understands this and doesn't mind helping me with this. Thanks in advance

Find the LCM of 4x^2y and 6xy^2

A) 24x^3y^3

B) 6xy

C) 12x^2y^3

D) 12x^2y^2

Answer 1

To find the LCM, find the factors of each polynomial.
4x^2y = 2 * 2 * x * x * y
6xy^2 = 2 * 3 * x * y * y

Since the LCM will be divisible by both numbers, add in the highest amount of each factor from each polynomial to create it (for example, it needs at least 2 2's, 2 x's and a y because of the 4x^2y):
LCM = 2 * 2 * 3 * x * x * y * y = 12x^2y^2 (d)