Some further applications of a lattice theoretic method in the study of singular LCM matrices

Mika Mattila, Pentti Haukkanen, Jori Mäntysalo

In 1876 H. J. S. Smith defined an LCM matrix as follows: let S = {x_1, x_2, ..., x_n} be a set of positive integers. The LCM matrix [S] is the n $\times$ n matrix with lcm(x_i , x_…