It is known that the sum of two natural numbers is 900, and the product of their greatest common divisor and least common multiple is 432

18 and 24 let the two numbers be m, and the sum of squares of n be 900, m ^ + n ^ = 900. That is to say, when the two natural numbers and 30 are three sides of a triangle, the triangle is a right triangle and 30 is a hypotenuse. Therefore, m, n, 30 are Pythagorean numbers, and 30 > m, 30 > n

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