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There are no prime numbers that are square numbers
Half of all square numbers are odd. They are the ones which are the square of an odd number.
The numbers of rows and columns in a rectangular array form a factor pair for that number.
Every square number (except 1) is composite. Prime numbers only have two factors, one and the numbers themselves. Since square numbers also have at least the square roots as factors, they have to be composite.
The LCM of 3 and 9 is 9.