How do you find the LCM of 96 and 108?

1 Answer
Apr 12, 2017

#LCM = 864#

Explanation:

Write each number as the product of its prime factors.
Then you know what each number is made up of.
All the factors of both numbers must be in the LCM, without any duplicates.

#" "96 = color(red)(2xx2xx2xx2xx2)xx3color(white)(xxxxxx) = color(red)(2^5) xx 3#
#" "108 =2xx2color(white)(xxxx....lxxxx) color(blue)(3xx3xx3)=2^2 xx color(blue)(3^3)#

#LCM = color(red)(2xx2xx2xx2xx2)xx3xx3xx3 = color(red)(2^5) xx color(blue)(3^3)#

#LCM = 864#