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

Answer:

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

Step-by-step explanation:

The given expressions are

$24a^3b$

$36ab^2$

Find factor form of each expression.

$24a^3b=2\times 2\times 2\times 3\times a\times a\times a\times b$

$36ab^2=2\times 2\times 3\times 3\times a\times b\times b$

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

$LCM(24a^3b,36ab^2)=2\times 2\times 2\times 3\times 3\times a\times a\times a\times b\times b$

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

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