'a' and 'b' are two positive integers such that the least prime factor of 'a' is 3 and the least prime factor of 'b' is 5.Then 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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