How Confusing is Saxony and Lower Saxony as States in Germany?

 Ok, for reference:

Saxony is the state around Chemnitz and Dresden....over on the far right (eastern) side of Germany.

Lower Saxony is the state around Bremen (the state-city), Hamburg (the state-city)....on the far northwestern end of the country.  

Yes, two totally separate states, and they don't physically connect.  

It is easy to get confused on the two.