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Nov 6, 2020 at 6:31 comment added Gerry Myerson Thanks – but, at 35 euros, I think I'll pass. For free, there are examples at math.stackexchange.com/questions/1449521/… (where it clarifies that if there's an LCM, then there's a GCD; only the converse fails).
Nov 5, 2020 at 23:23 comment added Pace Nielsen See link.springer.com/article/10.1007/BF02837870 There are two elements of the integral domain $\mathbb{Z}[\sqrt{-3}]$ that have an LCM but not a GCD. (Theorem 2 gives a nice relationship between LCM's and GCD's in general.)
Nov 5, 2020 at 21:36 comment added Gerry Myerson For example, ...?
S Nov 5, 2020 at 16:11 history answered Pace Nielsen CC BY-SA 4.0
S Nov 5, 2020 at 16:11 history made wiki Post Made Community Wiki by Pace Nielsen