Question

Please help!!! What is the least common multiple for:

12x^2y^3 and 14x^3y^2

Thanks!

Answer 1

Well, let us first factorize both as much as we can:
12x^2y^3 = 2*2*3*x^2*y^3
14x^3y^2 = 2*7*x^3*y^2
Common factors are 2*x^2*y^2,
so we will only use these once.
Therefore lcm = 2*3*y*7*x*2*x^2*y^2
= 84x^3y^3