There are only 5 Great Lakes - Lake Huron, Ontario, Michigan, Erie, and Superior.
The sixth largest state in the US by area is Arizona.
Lake Powell
The largest lake in the US is Lake Superior and its maximum depth is 1,332 ft.
In the US, Lake Superior is the largest lake. Lake Michigan is the largest lake that is actually in the US. Lake Superior is larger but it's impossible to credit it as largest since a good deal of it is in Another Country, namely Canada.
Lake Michigan is the sixth largest but the largest to lie in only one country.
Lake Superior
Lake Superior
Lake Superior
Lake Michigan
The largest lake in the US is Lake Superior, one of the great lakes, on the Canadian border (it's partially in the US and partially in Canada).
Your question assumes the Great Salt Lake is the largest lake in the US. It is not. That would be Lake Superior.
Lake Superior is the largest lake that is partly in the USA. The largest lake totally in the USA is Lake Michigan