# Bicycle wheels

Driving wheel of a bicycle has 54 teeth. The driven wheel has 22 teeth. After how many revolutions will meet the same teeth?

Correct result:

n =  11

#### Solution:

$54 = 2 \cdot 3 \cdot 3 \cdot 3 \ \\ 22 = 2 \cdot 11 \ \\ \ \\ \text{LCM}(54, 22) = 594 \ \\ n = 594/54 = 11$

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