ΔE 18.0, loose: different enough that you should pick on purpose. Lucius Lilac is noticeably lighter, more muted than Mauve.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 18). Lucius Lilac is noticeably lighter, more muted than Mauve.
The same difference applies the other way round: Mauve is noticeably darker, more saturated.
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 Mauve on the colour wheel See Lucius Lilac on the colour wheel
All matches: Mauve equivalents · Lucius Lilac equivalents