The existence of nonzero neutrino masses provides indisputable evidence for the need for new physics beyond the Standard Model. Moreover, this new physics needs to provide some source of lepton flavor violation consistent with neutrino oscillations. If lepton flavor is violated for neutral leptons, one may also expect to see lepton flavor violation in observables involving charged leptons. In this way, the neutrino mass problem naturally leads to a discussion of the physics of flavor. Scalar leptoquarks are simple extensions to the SM which directly couple leptons and quarks, naturally leading to violation of lepton flavor symmetries. In this talk, I will discuss some examples of how one can implement these models to explain radiative neutrino mass generation and anomalies (if they persist) in flavor and precision physics.