LeBron James & Dwyane Wade -- Partying til 5:30 AM After NBA Title

The Miami Heat finished off the San Antonio Spurs and then proceeded to finish off a few bottles of champagne ... celebrating their NBA title last night in grand fashion.

LeBron James, Dwyane Wade and company hit up Story nightclub in Miami where we're told they partied until 5:30 AM. Drake (right) and D-Wade's GF Gabrielle Union (below, bottom left) were among the celebs who helped the Heat celebrate their second NBA title in a row.

You gotta see the video ... especially when 68-year-old NBA legend (and Heat Prez) Pat Riley joins the crew.

Had the Spurs won it all, you have to wonder ... would 37-year-old Tim Duncan, 35-year-old Manu Ginobili, and 31-year-old Tony Parker have even hit the clubs at all?