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21 February, 09:30

The GCD (a, b) = 6, the LCM (a, b) = 180. Find the least possible value of a+b.

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  1. 21 February, 09:43
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    The factors of 180 are

    (1, 180), (2, 90), (3, 60), (4, 45), (5, 36), (6, 30), (9, 20), (10, 18), (12, 15).

    The GCD of 6 is the largest positive integer that divides 180.

    Therefore the required factors of 180 are a=6 and b=30 or vice versa.

    a + b = 6 + 30 = 36

    Answer: 36
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