We investigate all potentially viable scenarios that can produce the chiral enhancement required to simultaneously explain the (g − 2)e and (g − 2)u data with either a single scalar leptoquark or a pair of scalar leptoquarks. We provide a classification of these scenarios in terms of their ability to satisfy the existing limits on the branching ratio for the μ → eγ process. The simultaneous explanation of the (g − 2)e,μ discrepancies, coupled with the current experimental data, implies that the (g − 2)e loops are exclusively due to the charm-quark propagation, whereas the (g − 2)u loops are due to the top-quark propagation. The scenarios where the (g − 2)e loops are due to the top (bottom) quark propagation are, at best, approximately 9 (3) orders of magnitude away from the experimental limit on the μ → eγ branching ratio. All in all, there are only three particular scenarios that can pass the μ → eγ test and simultaneously create a large enough impact on the (g − 2)e,μ discrepancies when the new physics is based on the Standard Model fermion content. These are the S1, R2, and S1 & S3 scenarios, where the first two are already known to be phenomenologically viable candidates with respect to all other flavor and collider data constraints. We show that the third scenario-where the right-chiral couplings to charged leptons are due to S1, the leftchiral couplings to charged leptons are due to S3, and the two leptoquarks mix through the Standard Model Higgs field-cannot address the (g − 2)e and (g − 2)u discrepancies at the 1σ level due to an interplay between ..., and Z → μ+μ− data despite the ability of that scenario to avoid the μ → eγ limit. (ProQuest: ... denotes formula omitted.)