Was Mormon a priest according to the LDS?

Background = Before John the Baptist laid hands on Joseph Smith to establish the [Aaronic Priesthood](https://en.wikipedia.org/wiki/Aaronic_priesthood_(Latter_Day_Saints)) , and Peter, James, and John laid their hands upon Joseph Smith to establish the [Melchizedek Priesthood](https://en.wikipedia.org/wiki/Melchizedek_priesthood_(Latter_Day_Saints)) , there were several figures of note according to the book of Mormon well after the original 12 apostles' time. Not the least of which was [Mormon](https://en.wikipedia.org/wiki/Mormon_(Book_of_Mormon_prophet)) himself. Question = Because Mormon existed before the moment where the priesthoods were reestablished though Joesph Smith, I had this question come to mind: Was Mormon himself a priest in the sense that the Aaronic and Melchizedek priests are in the LDS today?