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Two gears – one smaller and one larger rotate so that the teeth of both wheels mesh together. The first wheel has 18 teeth, the second 27. How often does each wheel turn before returning to its starting position?

Correct answer:

n1 =  3
n2 =  2

Step-by-step explanation:

z1=18 z2=27  18=232 27=33 LCM(18,27)=233=54  z=LCM(z1,z2)=LCM(18,27)=54  n1=z/z1=54/18=3

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