Let $a$ and $b$ be distinct positive divisors of $80.$ What is the smallest possible value of $ab$ which is not a divisor of $80?$
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Let $a$ and $b$ be distinct positive divisors of $80.$ What is the smallest possible value of $ab$ which is not a divisor of $80?$
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
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Let $a$ and $b$ be distinct positive divisors of $80.$ What is the smallest possible value of $ab$ which is not a divisor of $80?$
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