If the difference between two natural numbers is 5 and the difference between their least common multiple and greatest common divisor is 203, then the sum of the two numbers is______ ．

If the difference between two natural numbers is 5 and the difference between their least common multiple and greatest common divisor is 203, then the sum of the two numbers is______ ．

① If two numbers have a common divisor 5, obviously their least common multiple is also a multiple of 5, the difference between the least common multiple and the greatest common divisor must be a multiple of 5, obviously 203 is not a multiple of 5, so the first case does not conform, then the two numbers are mutually prime; ② When the two numbers are coprime, the greatest common divisor of the two numbers of the coprime is 1, so the least common multiple of the two numbers is 203 + 1 = 204; and because the two numbers are coprime, the least common multiple of the two numbers is their product, so the two numbers are multiplied by 204, and 204 is decomposed into the prime factor: 204 = 2 × 2 × 3 × 17, so the two numbers are 12 and 17 respectively, and the two numbers are 12 and 17 The sum is 12 + 17 = 29

The minimum multiple of a natural number is 24, and the maximum factor of the natural number is______ ．

If the minimum multiple of a natural number is 24 and the number is 24, then the maximum factor of the number is 24

It is known that the difference between two natural numbers is 4, and the product of their greatest common divisor and least common multiple is 252

The product of their greatest common divisor and least common multiple is 252
The product of these two numbers is 252
Because 252 = 2 * 2 * 3 * 3 * 7, and the difference between the two natural numbers is 4
The two natural numbers are 14 and 18