Sum of two natural number is 89 and their lcm is also 89
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Observe that 89 is a prime number, which implies that the only factors of 89 are 1 and 89. Therfore, No two numbers other than 1 and 89 will have an LCM=89. But since 1 and 89 add up to 90, no two numbers exist, with their sum and LCM both equal to 89.
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