Consider all polynomials \(f(x) \) of degree 6 such that \(f(n) \) is an integer for all integers \(n\). The smallest possible positive leading coefficient of \(f(n) \) can be expressed as \( \frac{a}{b} \), where \(a\) and \(b\) are positive coprime integers. What is the value of \(a+b\)?

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