# How do you find the least common multiple for each pair 3x^2y^6, 4x^3y^2?

The LCM for ${x}^{2}$ and ${x}^{3}$ is ${x}^{3}$ (because ${x}^{3}$ is divisible by both ${x}^{2}$ and ${x}^{3}$).
The LCM for ${y}^{6}$ and ${y}^{2}$ is ${y}^{6}$ (because ${y}^{6}$ is divisible by both ${y}^{6}$ and ${y}^{2}$).
Therefore the least common multiple for the pair $3 {x}^{2} {y}^{6}$ and $4 {x}^{3} {y}^{2}$ is 12${x}^{3} {y}^{6}$.