What is the LCM of 18 and 24?

Question

45727 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-09-28T04:14:28

Multiples of #18# are #{18,36,54,color(red)72,90,108,126,color(red)144,162,...}#

Multiples of #24# are #{24,48,color(red)72,96,120,color(red)144,168,...}#

Hence, common multiples are #{72,144,...........}#

and Least Common Multiple is #72#.

Answer 2 · 2018-06-11T07:12:33

#LCM=72#

Write each number as the product of its prime factors:

The LCM must contain all the factors of each number, but without any duplicates.

#" "18 = 2color(white)(xxxx.x)xx3xx3#
#" "24 = ul(2xx2xx2xx3)#
#LCM = 2xx2xx2xx3xx3 = 72#