Question

What is the least perfect square, which is divisible by each of 21, 36 and 66?

Answer 1

Answer:

LCM of 21, 36, 66 is 3^2, 2^2, 7, 11. So the smallest perfect square should be 3^2 x 2^2 x 7^2 x 11^2 = 213444.

Answer 2

L.C.M. of 21, 36, 66 = 2772.

Now, 2772 = 2 x 2 x 3 x 3 x 7 x 11

To make it a perfect square, it must be multiplied by 7 x 11.

So, required number

= 22 x 32 x 72 x 112

= 213444