It is known that the difference between two natural numbers is 2, and the difference between their least common multiple and greatest common divisor is 142

It is known that the difference between two natural numbers is 2, and the difference between their least common multiple and greatest common divisor is 142

Let one of the natural numbers be x and the other bit x + 2, (1) when (x, x + 2) = 1, [x, x + 2] = 142 + 1 = 143, and (x, x + 2) × [x, x + 2] = 1 × 143 = 11 × 13 = x × (x + 2), so x = 11, x + 2 = 13; (2) when (x, x + 2) = 2, [x, x + 2] = 142 + 2 = 144, and (x, x + 2) × [x, x + 2] = 2 × 144 = 16 × 18 = x × (x + 2), so x = 16, x + 2 = 18 answer: these two natural numbers are 11 and 13 or 16 and 18 ．