I have started an LLC and plan to file as an S-Corp. Does the LLC need to file estimated taxes on/before April 18? If so, can I file an extension on behalf of the LLC?

The LLC is new as of April 2016. My question is whether I have to file estimated taxes for the earnings until middle of April 2016. Also, the first payment to the LLC won't occur until May 1st. Do I need to pay estimated taxes on earnings I don't receive?