A lattice-theoretic approach to the Bourque-Ligh conjecture

Ismo Korkee, Mika Mattila, Pentti Haukkanen

The Bourque-Ligh conjecture states that if $S=\{x_1,x_2,\dots ,x_n\}$ is a gcd-closed set of positive integers with distinct elements, then the LCM matrix $[S]=[\hbox{lcm}(x_i,x_j)…