  The exchange graph of a 2-acyclic quiver is the graph of mutation-equivalent
quivers whose edges correspond to mutations. When the quiver admits a
nondegenerate Jacobi-finite potential, the exchange graph admits a natural
acyclic orientation called the oriented exchange graph, as shown by Br\"ustle
and Yang. The oriented exchange graph is isomorphic to the Hasse diagram of the
poset of functorially finite torsion classes of a certain finite dimensional
algebra. We prove that lattices of torsion classes are semidistributive
lattices, and we use this result to conclude that oriented exchange graphs with
finitely many elements are semidistributive lattices. Furthermore, if the
quiver is mutation-equivalent to a type A Dynkin quiver or is an oriented
cycle, then the oriented exchange graph is a lattice quotient of a lattice of
biclosed subcategories of modules over the cluster-tilted algebra, generalizing
Reading's Cambrian lattices in type A. We also apply our results to address a
conjecture of Br\"ustle, Dupont, and P\'erotin on the lengths of maximal green
sequences.
