Sum of products

Let \(\displaystyle a,b,c,d \in \mathbb{N}\) where \(\displaystyle c\le a\le b\le d\) such that

\[\begin{cases} a+b=cd\\ c+d = ab \end{cases}\]

and let \(\displaystyle P=abcd\).

Find the sum of all possible \(P\).

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