Question 43863
 
 First take out the factors of both the expressions. Then take common factor as one factor and other factors once to arrive at the Least Common Multiple. Here,
 
{{{m^2-4m-5}}} = (m-5)(m+1)
{{{m^2+8m+7}}} = (m+7)(m+1)
In the factors of both the above expressions, we find (m+1) as one of the factors. So we will form an expression taking (m+1) as a factor and uncommon factors i.e.(m-5) and (m+7) as other factors. That will be the LCM. of those two expressions.
 
So the LCM = (m+1)(m-5)(m+7). Answer.

gsm