\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Find all pairs of natural integers \((a, b)\) such that \(a < b\) and:$$ \gcd(a, b) = 6 \quad \text{and} \quad \operatorname{lcm}(a, b) = 72 $$
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