Question

LCM of 23 * 32 and 22 * 33 is

(A) 23

(B) 33

(C) 23 * 33

(D) 22 *32

Answer 1

22 hope it will help you mark as brainist plzzz

Answer 2

Answer:

The correct option is (C). 2³ × 3³

Step-by-step explanation:

We need to find the L.C.M. of : 2³ × 3² and 2² × 3³

To find the L.C.M of the given number, we first factorize the given numbers as the product of prime factors :

The numbers are given in the product of its power of prime factors

Now, to find the L.C.M. take the common power factors of the prime factors and then multiply them by the remaining terms left.

Common terms between : 2³ × 3² and 2² × 3³ = 2² × 3²

Remaining terms : 2 × 3

So, L.C.M. of 2³ × 3² and 2² × 3³ = 2² × 3² × 2 × 3

⇒  L.C.M. of 2³ × 3² and 2² × 3³ = 2³ × 3³

Hence, The correct option is (C). 2³ × 3³