As proved in [16], there exists a duality Λt between the category HLC of locally compact Hausdorff spaces and continuous maps, and the category DHLC of complete local contact algebras and appropriate morphisms between them. In this paper, we introduce the notions of weight wa and of dimension dim a of a local contact algebra, and we prove that if X is a locally compact Hausdorff space then w(X) = wa(Λt(X)), and if, in addition, X is normal, then dim(X) = dim a(Λt(X)).