birthdays for young men

I am the Teachers Quorum Advisor. How do I find birthdays for the members of the quorum?

I don't see that quorum advisors have access to that information via LCR, so you'll probably need to ask your ward clerk or membership clerk for that information.

In LDS Tools, under Reports, there is a Birthday List. I am not sure who has access, but you might check there, as well.