Posted by **martabak** on Wednesday, August 24, 2011 at 9:47pm.

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

- maths -
**MathMate**, Wednesday, August 24, 2011 at 11:45pm
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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