Given two elements a, b in the Euclidean ring R their least common multiple cЄR is an element in R such that a│c and b│c and such that whenever a│x and b│x for xЄR then c│x. Prove that any two elements in the Euclidean ring R have a least common multiple in R.© BrainMass Inc. brainmass.com March 4, 2021, 7:31 pm ad1c9bdddf
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Ring Theory (XVII)
Least Common Multiple
By:- Thokchom Sarojkumar Sinha
Given two elements in the Euclidean ring their least ...
Euclidean Rings and Elements with Least Common Multiples are investigated. The solution is detailed and well presented.