Question

What is the LCM of `31z^3`, `93z^2`?

Answer 1

`93z^3`

Explanation:

LCM means the least number which is divisible by both `31z^3 and 93z^2`. It is obviuosly `93z^3`, but it can be determined by factorisation method easily

`31z^3 = 31*z*z*z`
`91z^2 =31*3*z*z`

First pick up the common factors 31zz and multiply the remaining numbers z*3 with this.

This makes up`31*z*z*3*z = 93 z^3`

Answer 2

`93z^3`

Explanation:

The LCM (Least Common Multiple) is the smallest value which each of two (or more) values divide evenly into.

Dividing `31z^2` and `93z^3` into factors and selecting all factors that are required by at least one of the two values:
#{:(31z^3," = ", ,31, z, z, z), (93z^2," = ",3,31, z,z, ),("required factors:", ,3, 31, z, z, z) :}#

The required factors of the LCM of `31z^3` and `93z^2` are
`3xx31xxzxxzxxz`

`rArr LCM(31z^3,93z^2) = 93z^3`