 The Sum and Least Common Multiple Puzzle. Referee reminds Mr. S and Mr. L that the least common multiple (“\(\text{lcm}\)”) of two positive integers x and y is the smallest positive integer that is divisible without any remainder by both x and y (e.g., \(\text{lcm}(3,6)=6\) and \(\text{lcm}(5,7)=35\)). Referee then says, 