Question

What would be the LCM of 6 and 4?

• A. 24
• B. 48
• C. 12
• D. 36

Answer 1

The correct option is C 12

$\underset{–}{ConceptUsed}$:
LCM of two numbers can be obtained by multiplying all the factors having highest powers.

$\underset{–}{Method}$:
6 can be written as $6=2\times 3$ and 4 as product of primes can be written as $4=2\times 2=2^2$.

Taking the factors with highest powers common, we get
$2^2$ from 4 and $3^1$ from 6.

Multiplying them, we get $2^2\times 3=12$ as the required LCM.