What is the least common multiple of 8, 9, and 6?

1 Answer
GM_Phrostbyte
Jul 1, 2017

#72#

Explanation:

To find the lcm, you have to break each number into its prime factors and then multiply the different ones with the highest recurrence.

#8=2*2*2#
#9=3*3#
#6=2*3#

We have the prime number 2 and 3 occurring, so we have find the number that has the most two's and the most three's. Since 8 has three two's (the most) and 9 has two three's (the most three's), we just multiply them together to find the lowerst common multiple.

#2*2*2*3*3=72#

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