  We prove that any symplectic 4-manifold which is not a rational or ruled
surface, after sufficiently many blow-ups, admits an arbitrary number of
nonisomorphic Lefschetz fibrations of the same genus which cannot be obtained
from one another via Luttinger surgeries. This generalizes results of Park and
Yun who constructed pairs of nonisomorphic Lefschetz fibrations on knot
surgered elliptic surfaces. In turn, we prove that there are monodromy
factorizations of Lefschetz pencils which have the same characteristic numbers
but cannot be obtained from each other via partial conjugations by Dehn twists,
answering a problem posed by Auorux.
