ΔE 17.7, loose: different enough that you should pick on purpose. Deep Magenta is a little lighter, warmer than Liche Purple.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 18). Deep Magenta is a little lighter, warmer than Liche Purple.
The same difference applies the other way round: Liche Purple is a little darker, cooler.
ΔE is the colour difference between our two swatch estimates: under about 6 is close, over about 15 is loose. Real paints also differ in finish, coverage and how they thin, so test before you commit.
See Liche Purple on the colour wheel See Deep Magenta on the colour wheel
All matches: Liche Purple equivalents · Deep Magenta equivalents