# Biketrial

Kamil was biketrial. Before hill he set the forward gear with 42 teeth and the back with 35 teeth. After how many exercises (rotation) of the front wheel both wheels reach the same position?

Result

n =  5

#### Solution:

$42 = 2 \cdot 3 \cdot 7 \ \\ 35 = 5 \cdot 7 \ \\ \ \\ \text{LCM}(42, 35) = 210 \ \\ n = 210/42 = 5$

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