The intrinsic reddening of the Magellanic Clouds as traced by background
  galaxies -- III. The Large Magellanic Cloud
  We present a map of the total intrinsic reddening across ~90 deg$^{2}$ of the
Large Magellanic Cloud (LMC) derived using optical (ugriz) and near-infrared
(IR; YJKs) spectral energy distributions (SEDs) of background galaxies. The
reddening map is created from a sample of 222,752 early-type galaxies based on
the LEPHARE $\chi^{2}$ minimisation SED-fitting routine. We find excellent
agreement between the regions of enhanced intrinsic reddening across the
central (4x4 deg$^2$) region of the LMC and the morphology of the low-level
pervasive dust emission as traced by far-IR emission. In addition, we are able
to distinguish smaller, isolated enhancements that are coincident with known
star-forming regions and the clustering of young stars observed in morphology
maps. The level of reddening associated with the molecular ridge south of 30
Doradus is, however, smaller than in the literature reddening maps. The reduced
number of galaxies detected in this region, due to high extinction and
crowding, may bias our results towards lower reddening values. Our map is
consistent with maps derived from red clump stars and from the analysis of the
star formation history across the LMC. This study represents one of the first
large-scale categorisations of extragalactic sources behind the LMC and as such
we provide the LEPHARE outputs for our full sample of ~2.5 million sources.
