\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Let \(a\) and \(b\) be two natural integers such that \(\gcd(a, b) = 14\) and their product \(ab = 11\,760\).
Determine \(\operatorname{lcm}(a, b)\).
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