What's the LCM of 6 and 8?

2 Answers
A. S. Adikesavan
May 28, 2016

24

Explanation:

Method. Find least positive integers L and M such that 6L = 8M.

The common value is LCM.

L = 4 and M = 3 and the LCM = 24.

CMs are N X LCM, N = 1, 2, 3, 4, ... N = 1 gives LCM.

Maggie · sente
May 28, 2016

#LCM (6,8) = 3 times 2 times 2 times 2=24#

Explanation:

Step one prime factor.
#6=2 times 3#
#8=2 times 2 times 2#

In order for a number, #X#, to be a multiple of #6# in must "contain" #6#, i.e. be of the form #X= n times 2 times 3 #, where #n# is a natural number #(1,2,3, ...)# and similarly for a number, #Y#, to be a multiple of #8# it must be in the form #Y=m times 2 times 2 times 2# where #m# is a natural number. A common multiple is both of these #Z= p times 3 times 2 times 2 times 2#. The LCM has #p=1#.

#LCM (6,8) = 3 times 2 times 2 times 2=24#

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