a and b are two positive integers such that the least prime factor of a is 3 and and that of b is 5.find the least prime factor of (a+b).

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Solution

Least prime factor being 3 or 5 means that 2 is not a factor. So the numbers are both odd. Odd + odd = even for sure. So for a+b we have 2 as a prime factor. Since 2 is the smallest prime, answer is 2.

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