Find the least common multiple of each of these pairs of numbers by the method of intersection of sets of multiples. (a) 18 and 32 (b) 14 and 11 (c) 42 and 72 (a) The LCM is (Simplify your answer.)

**(a) Find the LCM of 18 and 32** - List some multiples of 18: \(18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216, 234, 252, 270, 288, \dots\) - List some multiples of 32: \(32, 64, 96, 128, 160, 192, 224, 256, 288, \dots\) - The first common multiple is: \(\boxed{288}\) --- **(b) Find the LCM of 14 and 11** - List some multiples of 14: \(14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, \dots\) - List some multiples of 11: \(11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, 143, 154, \dots\) - The first common multiple is: \(\boxed{154}\) --- **(c) Find the LCM of 42 and 72** - List some multiples of 42: \(42, 84, 126, 168, 210, 252, 294, 336, 378, 420, 462, 504, \dots\) - List some multiples of 72: \(72, 144, 216, 288, 360, 432, 504, \dots\) - The first common multiple is: \(\boxed{504}\)