The LCM-closed sets conjecture
Let N⊂N+\mathcal{N}\subset\mathbb{N}^+N⊂N+ be a finite LCM-closed set, meaning that lcm(m,n)∈N\operatorname{lcm}(m,n)\in\mathcal{N}lcm(m,n)∈N whenever m,n∈Nm,n\in\mathcal{N}m,n∈N, and suppose that N\mathcal{N}N c…