Answer
$11y(y+5)$
Work Step by Step
Step 1. Factor both denominators.
$\left\{\begin{array}{ll}
11(y+5) & \\
y &
\end{array}\right.\qquad $(already factored)
Step 2. List the factors of the first denominator.
$ List=11,(y+5)...\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
$List=11,(y+5),y$
Step 4. LCD is the product of the listed factors.
$LCD=11y(y+5)$