Question

What is the LCM of 24a^3b and 36ab^2?

Answer 1

24 and 36 have a lcm of 12.
a^3 and a have a lcm of a
b and b^2 have a lcm of b.

12ab

Answer 2

The LCM of given expressions is
`72a^3b^2`.

Explanation:

The given expressions are

`24a^3b`

`36ab^2`

Find factor form of each expression.

`24a^3b=2* 2* 2* 3* a* a* a* b`

`36ab^2=2* 2* 3* 3* a* b* b`

LCM is the product of all factors where common factors are considered only once.

`LCM(24a^3b,36ab^2)=2* 2* 2* 3* 3* a* a* a* b* b`

`LCM(24a^3b,36ab^2)=72a^3b^2`

Therefore the LCM of given expressions is
`72a^3b^2`.