* The Metonic Cycle: This cycle is approximately 19 years long. It describes how the lunar phases (including full moons) repeat roughly on the same dates every 19 years.

* Calculate the Next Full Moon: To find the next year with a full moon on the 15th, add 19 years to 2023 (the year of the most recent full moon on September 15th): 2023 + 19 = 2042.

* Check the Options: None of the provided options match 2042.

Therefore, none of the given options are correct. The next full moon on the 15th will be in 2042, based on the Metonic cycle.