Define a multi-magic square to be a 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 as your answer if you don't think any multi-magic square exists.
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A multi-magic square exists with all entries 1 .