find least common multiple of 6, 7, 8

prime factorization: (2^(3))(3)(7) = 168

I don't quite get how 3 was picked from 6.
I think 2^3 is from 8 and 7 is from 7 but 6 is 3 x 2 = 6

But why not choose 2 instead of 3?

1 answer

6 = 2x3
7 = 7
8 = 2x2x2

for the least common multiple each factor above must show up, so you need
2x2x2x3x7

(the 2 of the 2x3 was already taken care of in the 2x2x2, so we don't have to repeat it)

2x2x2x3x7 = 168
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