Answer
$7y(y+2)$
Work Step by Step
Step 1. Factor both denominators.
$\left\{\begin{array}{ll}
7(y+2) & \\
y &
\end{array}\right.\qquad $(already factored)
Step 2. List the factors of the first denominator.
$ List=7,(y+2)...\qquad$ (list in progress)
Step 3. Add to the list in step 2 any factors of the second denominator that are not yet listed.
$y$ is not in the list, we add it to the list
$List=7,(y+2),y$
Step 4. LCD is the product of the listed factors.
$LCD=7y(y+2)$
