Question: Choose the corrrect option for LCM of 2³ * 3² and 2²  * 3³

(A) 2³

(B) 3³

(C) 2³ * 3³

(D) 2² * 3²

This question is based on LCM of two numbers.

Answer: LCM of 2³ * 3² and 2²  *3³ is option (c)  2³ * 3³.

Let us see how to solve this question.

Explanation:

LCM is the smallest number which divides both the given numbers without any remainder.

2³ * 3²  = 2 × 2 × 2 × 3 × 3

2²  *3^{3 =}  2 × 2 × 3 × 3 × 3

Let us multiply the highest exponent number from both the numbers 2³ * 3² and 2²  *3³ which is  2³ × 3³.

Thus, LCM of 2³ * 3² and 2²  *3³ is option (c)  2³ * 3³.