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the smallest integer which is an exact multiple of both 60 and 126

  • maths -

    60=2^2*3*5
    126=2*3^2*7
    The LCM is therefore
    LCM=2^2*3^2*5*7
    =1260

    Alternatively you find it by division:

    2 | 60, 126
    3 | 30, 63
    1 | 10, 21

    LCM = 2*3*1*10*21 = 1260

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