They were the Minneapolis Lakers, beginning Jeep and voleyball I like jeeps and volleyball and maybe 3 people shirt in 1947, but the name had nothing to do with proximity to the Great Lakes. Minnesota was known as the land of 10,000 lakes because the state, obviously, has a large number of lakes in it and the name was meant to have some connection to its location.
For some reason, when the team moved to LA, Jeep and voleyball I like jeeps and volleyball and maybe 3 people shirt they decided to keep the original name even though LA has very few lakes of any kind. I guess this could be similar to the Jazz (originally from New Orleans where the name had some meaning) keeping their name after moving to Utah. LOL