Double Magic All The Way!

Define a multi-magic square to be a \(3\times3\) square of positive integers such that the sum of the entries of each row, each column, and the two main diagonals are equal, and the product of the entries of each row, each column, and the two main diagonals are equal.

What is the least possible value of the common product?

Submit \(-9000\) as your answer if you don't think any multi-magic square exists.

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