Abstract Algebra II · Domains, divisibility, and factorization
Lcm from prime exponents
Problem
Compute $\operatorname{lcm}(84,60)$ from unique prime factorizations and verify $\gcd(84,60)\operatorname{lcm}(84,60)=84\cdot60$.
Hint
Write $84=2^2\cdot3\cdot7$ and $60=2^2\cdot3\cdot5$.
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