Let \( \alpha, \beta \in \mathbb{N} \) be roots of the equation \( x^2 - 70x + \lambda = 0 \), where \( \frac{\lambda}{2}, \frac{\lambda}{3} \notin \mathbb{N} \). If \( \lambda \) assumes the minimum possible value, then \( \dfrac{\left(\sqrt{\alpha - 1} + \sqrt{\beta - 1}\right)(\lambda
+ 35)}{|\alpha - \beta|} \) is equal to: ______.
