Question

LCM of 2³ ×3² and 2²×3³ ​

Answer 1

Answer:

LCM = 2x2x2x3x3x3 = 216

Step-by-step explanation:

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

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

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