When in doubt, read the instructions:

https://www.ftb.ca.gov/forms/2018/18_568bk.pdf

Extensions

California does not require the filing of written applications for extensions. All LLCs in good standing that are classified as partnerships have an automatic seven month extension to file. If the LLC cannot file its Form 568 by the return’s due date, the LLC is granted an automatic seven month extension unless the LLC is suspended or forfeited.

SMLLCs disregarded for tax purposes will follow the owners original due date and extended due date of the return.

However, the automatic extension does not extend the time to pay the LLC fee or nonconsenting nonresident members’ tax.

If the LLC is filing the return under extension, see form FTB 3537, Payment for Automatic Extension for LLCs, included in this booklet, to submit the required payments.

Rick

As Susan says, nope - for Federal.

But you should make sure the state (if applicable) doesn't require a separate extension.

Where is @JustLisaNow?  I need answer for CAL SMLLC and I am SURE she knows the answer!

ask me....I'm a CA'er

locked out again.  
My gut says file CAL 568 extension for SMLLC (why not?). @abctax55 what's your answer?
A NorCal'er, I too should have 55 in my name

Hmm...I honestly don't know.  All my SMLLC's get done before the deadline, so I've never had to deal with this question.
Lacerte doesn't provide an "option" to file an F 568 extension via the Individual module (which is where I do all my SMLLC.
I like the "why not" position tho...as it IS California 🙂

All my SMLLCs get filed by the deadline too.
BUT  Form 3537 is the automatic extension to pay the fees in with for a CA SMLLC.