How do you find the Least common multiple of 35, 25?

1 Answer

LCM = 175

Explanation:

With LCM questions, I first start with a prime factorization of the numbers in question:

#35=5xx7#
#25=5xx5#

The LCM will have all the elements contained within the numbers above, so it'll have the two 5's from 25 and the 7 from 35 (the 5 in 35 is already counted in the 5's coming from the 25). It works out to be:

#5xx5xx7=25xx7=175#

#35xx5=175#
#25xx7=175#