If your state accepts the federal extension (as many states do) you are covered for both federal and state. Please see the FAQ at the end of this answer for information on extensions for your state.
If your LLC is a sole-proprietorship and filing a Schedule C, then the extension you filed for your personal return covers the Schedule C.
If your LLC is organized as an S-Corp or a Partnership, you needed to file a separate extension (Form 7004) for your LLC.
https://ttlc.intuit.com/replies/3300227
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