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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-5)(m+1) = (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.