\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
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For any two non-zero natural integers \(a\) and \(b\), which relationship is always true?
\(\gcd(a, b) \times \operatorname{lcm}(a, b) = a \times b\)
\(\gcd(a, b) + \operatorname{lcm}(a, b) = a + b\)
\(\operatorname{lcm}(a, b) = \gcd(a, b) \times (a + b)\)
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