Find the least positive integer $$p$$ for which there exists a set $$\{\lambda_1,\lambda_2,\ldots,\lambda_p\}$$ consisting of $$p$$ distinct positive integers such that $\left( 1-\frac{1}{\lambda_1} \right) \left( 1-\frac{1}{\lambda_2} \right) \cdots \left( 1-\frac{1}{\lambda_p}\right)=\frac{51}{2010}$