# What is the least common multiple of 18x^3y^2z, 30x^3yz^2?

Nov 9, 2016

The LCM is $6 {x}^{3} y z$.

#### Explanation:

The LCM between 18 and 30 is 6. Divide 6 into both of them to get 3 and 5. These cannot be reduced further, so we are sure that 6 is the LCM.

The LCM between ${x}^{3}$ and ${x}^{3}$ is ${x}^{3}$, so dividing both terms by ${x}^{3}$ gives us 1.

The LCM between ${y}^{2}$ and $y$ is just y, since it is the lowest term that appears in both.

Similarly, with ${z}^{2}$ and $z$, it is just z.

Put all of these together to get $6 {x}^{3} y z$