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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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