Question

Find the smallest perfect square, which is divisible by 6 and 8.

• A. 72
• B. 144
• C. 576
• D. 48

Answer 1

The correct option is B 144

The least number, which will be divisible by 6 and 8, will be the LCM of 6 and 8.
The LCM of 6 and 8 is 24.
The smallest perfect square, which is divisible by 6 and 8, will be divisible by 24 also.
24 = 2 x 2 x 2 x 3
=$2^2\times 2\times 3$
To make it a perfect square, 24 has to be multiplied by 6 .
So, the smallest perfect square divisible by 6 and 8 is
$24\times 6=144$