The hosts trailed by 1 point after three quarters before their 22-17 charge, which allowed them to win the game.
The best player for the winners was American-Georgian point guard Corey Fisher, who scored 17 points and 4 assists.
International power forward Arturas Gudaitis chipped in 16 points and 7 rebounds.
Lietuvos rytas' coach Rimas Kurtinaitis used a ten-player rotation in such tough game.
Russian center Anatoly Kashirov produced 14 points and 8 rebounds and forward Paulius Morkeliunas added 16 points and 7 rebounds respectively for the guests.
Lietuvos rytas moved-up to second place, which they share with Lietkabelis.
Loser Dzukija keeps the eighth position with 19 games lost. Lietuvos rytas will meet at home P.Zvaigzdes (#7) in the next round where they are favorite. Dzukija will play against Vytautas in Prienai and it may be a tough game between close rivals.