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    What is the Least Common Multiple of 24×33,25×32 and 25×36 ?2^4×3^3, 2^5×3^2\, and\, 2^5×3^6 \,?24×33,25×32and25×36?​​
    Question

    What is the Least Common Multiple of 24×33,25×32 and 25×36 ?2^4×3^3, 2^5×3^2\, and\, 2^5×3^6 \,?​​

    A.

    252^5​​

    B.

    25×362^5 × 3^6​​

    C.

    23×352^3 × 3^5​​

    D.

    25×352^5 × 3^5​​

    Correct option is B

    Given:

    24×3325×3225×36 2^4 × 3^3\\2^5 × 3^2\\2^5 × 3^6\\​​

    Formula Used:

    LCM = Highest powers of the factors of all the numbers

    Solution:

    The highest powers of 2 and 3 across all the numbers are 25and 36,2^5 and \,3^6,​ respectively.
    Thus, the LCM is: 25×362^5 × 3^6

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