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Since 16 is a multiple of 8, we can ignore 8 when determining the least common multiple of 14, 8, and 16. The prime factors of 14 are 2 and 7. The prime factors of 16 are 2, 2, 2, and 2. So the least common multiple needs 2, 2, 2, and 2 from 16. Since we already have a 2, we only need the 7 from 14. The least common multiple is 2 x 2 x 2 x 2 x 7 = 112. Doublecheck: 112 / 14 = 8 112 / 16 = 7 112 / 8 = 14 Since 8 and 7 (the results of dividing by 14 and 16) are relatively prime, this is the least common multiple.
The LCM of 16 and 18 is 144. 18x8=144 16x9=144
The Least Common Multiple (LCM) for 16 18 is 144.
The Least Common Multiple of 12 and 16 is 48.
They meet first at their least common multiple (LCM).