What is the least common multiple of 6 and 9?

Question

Gabriel Agustin · Accepted Answer

#18#.

Go up in multiples of either #6# or #9#. so for #6#, there is: #6#, #12#, #color(blue)(18)#, #24#... for #9#, there is: #9#, #color(blue)(18)#, #27#, #36#... and find the earliest or lowest number that occurs in both, which is #18#.

Gabriel Agustin · Answer

The least common multiple (LCM) of #6# and #9# is #18# and the explanation is down below!

I always take the first 5 multiples of each number and write them down. And if we don't our LCM in there, then I write down the next five multiples! So let's start, shall we? (First 5) Multiples of #6#: #6, 12, 18, 24, 30# (First 5) Multiples of #9#: #9, 18, 27, 36, 45# Now, we have to see if there is any common number in the numbers. If we do, we have to make sure that there isn't any other number lower than that that #6# and #9# go into! (First 5) Multiples of #6#: #6, 12,##color(blue)(18)##, 24, 30# (First 5) Multiples of #9#: #9, ##color(blue)(18)##, 27, 36, 45# There isn't any number before #18# that #6# and #9# both go into, so #18# is the LCM of #6# and #9#! Now we don't need to write down anymore multiples. :) Source: My knowledge! I hope that helps you!

Aurora Arias · Answer

undefined The least common multiple of 6 and 9 is 18.