They meet first at their least common multiple (LCM).
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None of those are multiples of ten.
2 4 6 8 10 12 14 16
Least common multiples 12 and 16 is 48.
2, 4, 6, 8, 10, 12, 14, 16, 18, 20
The multiples of 2 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, ...