How well you know greatest integer function?

Algebra Level 3

Let \(f(x) \) be a continuous function whose range is \([2,6.5]\).

If \(h(x)=\left\lfloor \dfrac { \cos x+f(x) }{ \lambda } \right\rfloor ,\lambda \in \mathbb N\) be continuous, where \(\left\lfloor . \right\rfloor \) denotes the greatest integer function, then the least value of \(\lambda \) is:

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