The full moon occurs when the moon appears as a complete circle or in its full size in the sky. We can witness the moon as a full sphere because the whole of the side of the moon which is facing the Earth is illuminated by the sun's light or rather rays.

The full moon shows it's whole face to us about once a month. Most of the time, the full moon isn't perfectly full as its name suggests. We always see the same side of the moon, but part of it is in the shadow that decides the size or shape of the moon. When the moon, Earth and the sun are perfectly positioned in a straight line then the moon is full and this special alignment produces the lunar eclipse.
And sometimes - once in a blue moon - the moon is full twice in a month or four times in a season when all the essential points are satisfied.
Coming to the question, the next full moon will occur on Monday, September. 20 at 7:55 am. EDT but the moon will appear in its full state the night before and after its peak. September's full moon will be the Harvest Moon of 2021, which is sometimes known as the corn moon and has many other nicknames assigned to it.
European settlers followed a custom and created some of their names.
The full moon name of September is named after the Native Americans because at that time corn was supposed to be harvested. September's full moon is the harvest moon. It is the full moon which is closest to the fall equinox.