I tried to update LR and my CC control panel now thinks that I have the most up-to-date version. But I do not. I have version 2015.8 not 2015.10. Every time I launch LR, a pop up tells me that there is a new version available. But when I go to my CC control panel, it shows that I have already updated LR.
Sometimes it takes a log-out and log-in using your Adobe ID to reset some of the communication with the servers.
Alternatively, you can use the link in Jim's response to download and install the update manually.