Can there be two full moons in a month? Could there be a month without a full moon?

The synodic month of the moon (29d, 5) is shorter than the length of the calendar months in 30d and 31d, during each of which one or two full moons will necessarily occur.
A month without a full moon can only be February. This is a rare case. The last time a month without a full moon was February 1868, and the closest was February 1999.

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