  We calculate the magnetic moments of light nuclei ($A < 20$) using the
auxiliary field diffusion Monte Carlo method and local two- and three-nucleon
forces with electromagnetic currents from chiral effective field theory. For
all nuclei under consideration, we also calculate the ground-state energies and
charge radii. We generally find a good agreement with experimental values for
all of these observables. For the electromagnetic currents, we explore the
impact of employing two different power countings, and study theoretical
uncertainties stemming from the truncation of the chiral expansion
order-by-order for select nuclei within these two approaches. We find that it
is crucial to employ consistent power countings for interactions and currents
to achieve a systematic order-by-order convergence.
