Frame this as a single-stage versus two-stage choice. ESWL is for renal and select pancreatic stones, not a recommended modality for CBD calculi, so rule it out. Waiting for a separate ERCP after cholecystectomy splits care into two procedures and is a fallback when laparoscopic duct clearance is not available. The ideal, when the surgeon is skilled in laparoscopic CBD techniques, is to remove the gallbladder and clear the 4 ductal stones in one sitting: intraoperative cholangiogram confirms the stones, then transcystic or choledochotomy extraction clears them. One anaesthesia, one admission, definitive treatment. Therefore cholecystectomy with choledocholithotomy at the same setting is the best answer.