Question

least natural number multiplied with 2 power 7 and 3 power 7 to make it perfect square is

Answer 1

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Answer 2

For the quotient to be a perfect square, the powers of each prime factor of quotient must have even powers.

In this case, Dividend is 2⁷ x 3⁷

The quotient must have 2⁶ x 3⁶

So leftovers 2¹ and 3¹ should be in the divisor.

Hence, least number multiplied is 2 x3 = 6