Where does “lut” come from?

lut (Old French) comes from Latin lutum, from Proto-Indo-European lēw- — to sound, resound, sing out; to leave.

Ancestry of “lut”, step by step

Step	Language	Word	Meaning
1	Latin	lutum	soil, dirt, mire, mud; loam, clay; The plant...
2	Proto-Indo-European	lēw-	to sound, resound, sing out; to leave