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The LCM is: 60
60 is divisible by 30. So, L.C.M. of 30 and 60 is 60.
This can be shown easily by writing down the multiples of 30 and 60:
30: 30, 60, 90, 120,...
60: 60, 120, 180,...
Alternate method:
Method of prime factorization
Prime factorization of 60 = 2x2x3x5
Prime factorization 0f 30 = 2x3x5
L.C.M. = Product of common numbers x Product of uncommon numbers = 2x2x3x5.
So, L.C.M. of 60 and 30 = 60
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