Find the LCM of 3(t-2)and 6(t-2)

is it 18(t-2)

LCM of the coefficients (3, 6) is 6.

The common factor is (t-2), so the LCM of the two expressions is
6(t-2).

To find the least common multiple (LCM) of the two expressions, 3(t-2) and 6(t-2), we can follow these steps:

Step 1: Simplify both expressions.
3(t-2) simplifies to 3t - 6.
6(t-2) simplifies to 6t - 12.

Step 2: Factorize both expressions.
The factors of 3t - 6 are 3 and (t-2).
The factors of 6t - 12 are 6 and (t-2).

Step 3: Identify common factors.
The common factor in both expressions is (t-2).

Step 4: Determine the LCM.
To find the LCM, you need to multiply all the factors together, including the common factor, but only once. Therefore, the LCM is:
LCM = 3 x 6 x (t-2) = 18(t-2)

So, yes, you are correct. The LCM of 3(t-2) and 6(t-2) is indeed 18(t-2).