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integer, how many consecutive integers following N are needed to insure that at least one of the integers is divisible by another positive integer m?...

If N is any positive integer, how many consecutive integers following N
are needed to insure that at least one of the integers is divisible by
another positive integer m?
A) m - 1
B) m
C) m + 1
D) 2m
E) m2
Please provide explanation for your answer.

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