Why Lucifer is called Satan
which name came first ?

for even before the birth of human where were a evil named Satan
is that Lucifer stand for Satan or Satan for Lucifer
....

Lucifer maybe came first,I think.

When Lucifer betrayed God,he went to the hell,so called the FallenAngel.

Satan might be another name that came from the heavn,as they would never like to call Lucifer again.

That's it,I guess.