By what least number should $7623$ be multiplied to get a perfect square number? Also, find the number whose square is the new number.

By what least number should $3380$ be multiplied to get a perfect square number? Also, find the number whose square is the new number.

By what least number should $2475$ be multiplied to get a perfect square number? Also, find the number whose square is the new number.

By what least number should $1575$ be divided to get a perfect square number? Also, find the number whose square is the new number.

By what least number should $9075$ be divided to get a perfect square number? Also, find the number whose square is the new number.

By what least number should $4851$ be divided to get a perfect square number? Also, find the number whose square is the new number.

By what least number should $3380$ be divided to get a perfect square number? Also, find the number whose square is the new number.

By what least number should $4500$ be divided to get a perfect square number? Also, find the number whose square is the new number.

By what least number should $7776$ be divided to get a perfect square number? Also, find the number whose square is the new number.