Question

LCM of 2 3 * 3 2 and 2 2 * 3 3 is (A) 2 3 (B) 3 3 (C) 2 3 * 3 3 (D) 2 2 *3 2

Answer 1

the correct answer is  (C) 2 3 * 3 3 
LCM of 2 2 and 3 3 is 22*33 as both of the the numbers do not have any common factor except 1.

Answer 2

LCM of 2³ × 3² and 2² × 3³ is 2³ × 3³

Given :

The numbers 2³ × 3² and 2² × 3³

To find :

LCM of 2³ × 3² and 2² × 3³ is

(A) 2³

(B) 3³

(C) 2³ × 3³

(D) 2² × 3²

Concept :

LCM :

For the given two or more numbers LCM is the least number which is exactly divisible by each of the given numbers

Solution :

Step 1 of 2 :

Write down the given numbers

First number = 2³ × 3²

Second number = 2² × 3³

2 , 3 are the prime numbers present in the prime factorisation of the given numbers

From the given two numbers

Highest power of 2 = 3

Highest power of 3 = 3

Step 2 of 2 :

Find the LCM

The required LCM

= The product of highest powers of all prime factors

= 2³ × 3³

Hence the correct option is (C) 2³ × 3³

Correct question : LCM of 2³ × 3² and 2² × 3³ is

(A) 2³ (B) 3³ (C) 2³ × 3³ (D) 2² × 3²

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