# Unlikely

Number Theory Level 5

Let $$N$$ and $$M$$ be two randomly chosen positive integers.

What is the probability $$p = P((N,M) = 1)$$, that is, the probability that $$M$$ and $$N$$ are coprime, and thus have no common divisors greater than one?

Give your answer as $$\lfloor 10000 p\rfloor$$.

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