A pant-like absorbent garment having curved leak guard flaps has a gasket-like fit. A chassis of the absorbent garment defines first and second leg openings with curved cut-outs in the chassis. First portions of two leak guard flaps are bonded in a stretched position to the first and second leg openings about a periphery of the curved cut-outs, thereby forming finished seams. Leg elastic members can be bonded to the second portions of the leak guard flaps, thereby creating an even greater gasket effect. The resulting absorbent garment has a comfortable, gasket-like fit and an aesthetically pleasing, finished look about the leg openings.