My experience with LS comun is that the purity is really good but if you want to isolate further cells from the suspension which already passed by the magnet and was not retended, you ll end up with a lot of cells from your primary magnetic labeling.
For example, I tried to isolate CD4+ and CD8+ T cells from PBMC.
So I started isolating CD8+ cells and labeled all unbound cells with CD4+microbeats for a second column run. It happens that your CD4+ fraction contains as much as 20% of CD8% T cells (no other cells, so it is due to the magnetic labeling).