What is the least per

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Question

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

Options:

A . 213444

B . 214434

C . 214344

D . 231444

Answer: Option A

Answer : Option A

Explanation :

LCM of 21, 36, 66 = 2772
ie, all multiples of 2772 are divisible by 21, 36 and 66
Prime factorization of 2772 is,
2772 = 2 Ã— 2 Ã— 3 Ã— 3 Ã— 7 Ã— 11
ie, to make it a perfect square, we have to multiply it by 7 and 11
Hence, required number = 2772 Ã— 7 Ã— 11 = 213444

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