Lucius is most notable for probably being the unnamed son who was captured by pirates circa 192 BC. This son was released without ransom by Antiochus III of Syria before the Battle of Magnesia (190 BC). The fact that Scipio paid no ransom for his son's release would cause him political problems with the Senate two years later.
It is possible that Lucius learned in Syria the dissolute habits and lifestyle which marked the rest of his life.
His date of death is unknown, but he probably died between 174 BC and 170 BC. It is possible that his death, which left his brother with no male heirs, forced the brother Publius to adopt his own first cousin as his heir. This adoptive son would be Scipio Aemilianus, known after his adoption as Publius Cornelius P.f. P.n. Aemilianus, then eventually as Scipio Africanus Minor (Scipio the Younger).
Lucius appears to have died unmarried, since no wife or issue are mentioned by any Roman historian. Some sources mention that both of Scipio's sons suffered from ill health, which might have prevented them from marrying, or pursuing a normal military and then political career.