Find the least common multiple

Question

x^2 - 5x, x^2

Answer 1

The first step is to find out what is in common with both.

In the first equation, we can factor out an x, so we are left with x(x-5).  With the second, we factor out an x and are left with x(x).  So, we know part of the multiple will have x.

Next step, after having taken out our common portion of the two equations, we multiply what is uncommon, leaving us with (x)(x)(x-5).  When multiplied together, we have x^3-5x^2.

Answer 2

x^2 -5x put the x out ----- x(x-5)

and x^2 -------------------- x*x

Repeat common only one time since you are looking for least common and copy the one which is different 

 

x*x(x-5)   or    x^3-5x^2          LCM