  In this paper, we demonstrate that the lattice structure of a set of clusters
in a cluster algebra of finite type is anti-isomorphic to the torsion lattice
of a certain Geiss-Leclerc-Schr\"oer (GLS) path algebra and to the $c$-Cambrian
lattice. We prove this by explicitly describing the exchange quivers of cluster
algebras of finite type. Specifically, we prove that these quivers are
anti-isomorphic to those formed by support $\tau$-tilting modules in GLS path
algebras and to those formed by $c$-clusters consisting of almost positive
roots.
