What is the least common multiple of 6 and 9?

1 Answer
Alan P.
Apr 20, 2016

The least common multiple of #6# and #9# is #color(green)(18)#

Explanation:

Expressed as the product of prime factors #6=2 xx 3#.
Expressed as the product of prime factors #9=3xx3#

Any multiple of #6# and #9# must contain as the product of prime factors at least one #2# and two #3#'s.

The least common multiple of #6# and #9# would be #2xx3xx3=18#

...but any integer multiple of #18# would also be a common multiple of #6# and #9#

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