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The LCM of 36\sqrt{36}36​ and 64\sqrt{64}64​ is:​
Question

The LCM of 36\sqrt{36} and 64\sqrt{64} is:​

A.

640

B.

72

C.

360

D.

24

Correct option is D

Given:

LCM of 36\sqrt{36} and 64\sqrt{64} 

Solution:

the square roots of the given numbers:

36\sqrt{36} = 6 , 64\sqrt{64}  = 8

​LCM of 6 and 8. 

6 = 2×3

8 = 232^3 

LCM is 23×312^3 \times3^1 = 24

​The LCM of 36\sqrt{36} and 64\sqrt{64} is 24

Thus, correct answer is (d) 24

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