G. Grätzer and F. Wehrung introduced the lattice tensor product, A⊠B, of the lattices Aand B. In Part I of this paper, we showed that for any finite lattice A, we can "coordinatize" A⊠B, that is, represent A⊠,B as a subset A of B A, and provide an effective criteria to recognize the A-tuples of elements of B that occur in this representation. To show the utility of this coordinatization, we prove, for a finite lattice A and a bounded lattice B, the isomorphism Con A ≌ (Con A)<Con B>, which is a special case of a recent result of G. Grätzer and F. Wehrung and a generalization of a 1981 result of G. Grätzer, H. Lakser, and R.W. Quackenbush.