Abstract Algebra: Theory and Applications · Problem 2.4.24

Groups — Thomas Judson

Mathematics — Abstract Algebra · gcd-lcm-product

Problem

If d=gcd⁡(a,b)d = \gcd(a,b) and m=lcm(a,b)m = \text{lcm}(a,b), prove that dm=∣ab∣dm = |ab|.

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