  We report magnetoresistance and Hall angle measurements of the electron-doped
cuprate La$_{2-x}$Ce$_x$CuO$_4$ over a wide range of dopings from $x = 0.08 -
0.17$. Above 100 K, we find an unconventional $\sim H^{3/2}$ magnetic field
dependence of the magnetoresistance observed in all samples doped within the
superconducting dome. Further, the measured magnetoresistance violates Kohler's
rule. Given the ubiquity of this anomalous magnetoresistance at high
temperatures above the superconducting dome, we speculate that the origin of
this behavior is linked to the unusual $\rho \sim T^2$ resistivity observed
over the same wide parameter range at high temperatures. We also find a strong
doping dependence of the Hall angle with an unconventional temperature
dependence of $\cot \theta_H \sim T^{4}$ ($T^{2.5}$) for samples doped below
(above) the Fermi surface reconstruction doping $x_{\text{FSR}} = 0.14$.
