Find the LCM.
-t, t - 6
A)t(t - 6)
B)t
C)t - 6
D)49

Question

Quizplus · Accepted Answer

To find the LCM of t and t-6, we need to factorize both expressions. t is already a prime expression, while t-6 can be written as (t-6) = (-1)(6-t). Therefore, the LCM of t and t-6 is simply t(t-6), which is equivalent to answer choice A. The LCM of two expressions is their product divided by their GCD. The GCD of t and t-6 is either t if 6 divides t, or 6 if 6 does not divide t. Therefore, the LCM is either t(t-6) or 6t(t-6). However, the first expression is always a factor of the second, so the best choice is A.

Find the LCM. -T, T - 6