SOLUTION: What is the lowest common multiple (LCM) of 63 and 84

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Question 1147560: What is the lowest common multiple (LCM) of 63 and 84
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
1          63       84
2         126      168
3         189      252
4         252


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Answer by ikleyn(52792) About Me  (Show Source):
You can put this solution on YOUR website!
.

Integer number 63 has the following decomposition into the product of prime numbers

    63 = 9*7 = 3%5E2%2A7.        (1)



Integer number 84 has the following decomposition into the product of prime numbers

    84 = 12*7 = 2%5E2%2A3%2A7.      (2)



The LCM should have any of this prime numbers, 2, 3, and 7 in degrees what are maximal for each prime 
among these two decomposition (1) and (2).  



So      LCM(63,84) = 2%5E2%2A3%5E2%2A7 = 252.      ANSWER