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

(A) 2^{3}

(B) 3^{3}

(C) 2^{3} * 3^{3}

(D) 2^{2} * 3^{2}

## Answer: LCM of 2^{3} * 3^{2} and 2^{2} *3^{3} is option (c) 2^{3} * 3^{3}

Let us see how to solve this question

## Explanation:

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

2^{3} * 3^{2} = 2 × 2 × 2 × 3 × 3

2^{2} *3^{3 = }2 × 2 ×^{ }3 × 3 × 3

Let us multiply the highest exponent number from both the numbers 2^{3} * 3^{2} and 2^{2} *3^{3} which is 2^{3} × 3^{3}