One of the topics our novices study are Moon phases. I just found out that on that the dates are different depending on which hemisphere. For example May 2018 full Moon for the Northern hemisphere falls on Tuesday the 29th at 9:19,Am in Chicago, Illinois, USA. While the southern hemisphere full Moon is on May 30th at 12:19 AM in Melborne, Australia.
So the Moon phases coincide with each other just on different days and times.