What is the least common multiple of #x^2-8x+7 and x^2+x-2 #?

1 Answer
May 4, 2018

#LCM = (x-1)(x-7)(x+2)#

Explanation:

Before you can find the lowest common multiple, factorise each expression to find out what factors they are made up of.

#x^2 -8x+7 = (x-1)(x-7)#

#x^2 +x-2 = (x+2)(x-1)#

The LCM must be divisible by both expressions, but we may not have unnecessary duplicated factors.

#LCM = (x-1)(x-7)(x+2)#