Means "favour of the people" from the Slavic elements lyudu
"people" and milu
"gracious, dear". Saint
Ludmila was a 10th-century duchess of Bohemia, the grandmother of Saint Václav. She was murdered on the orders of her daughter-in-law Drahomíra.
As a Russian name, this is a variant transcription
(usually rendered LYUDMILA