L.C.M of m and m+1

Answer 1

The LCM of two consecutive integers, in this case m and m+1, is equal to their product divided by their greatest common divisor. In this case, the LCM of m and m+1 is given by:

LCM(m, m+1) = m * (m+1) / GCD(m, m+1)

Since m and m+1 are consecutive integers, they do not have any common factors other than 1. Therefore, their greatest common divisor is 1.

Therefore, the LCM of m and m+1 is simply the product of the two integers:

LCM(m, m+1) = m * (m+1) = m^2 + m

So the LCM of m and m+1 is m^2 + m.