Question 106
Let $a$, $b$ and $c$ be positive integers satisfying
$$
\frac{(ab-1)(ac-1)}{bc} = 2023, \quad \text{and} \quad b \le c.
$$
Find all possible values for $c$.
$$
\frac{(ab-1)(ac-1)}{bc} = 2023, \quad \text{and} \quad b \le c.
$$
Find all possible values for $c$.