Lazuli means "sky blue", from the Medieval Latin lazulī, the genitive singular of lazulum, from the Arabic lāzuward (لازورد), ultimately from the Persian lājvard (لاجورد) "lapis lazuli".
The names ultimately comes from Persian lajavard "lapis lazuli", possibly meaning "shining stone" from Indo-European ǵʰelh meaning "to shine" and Proto-Iranian varta meaning "stone".
Lajvard, the location where the gemstones were firstly mined, in the region Badakhshan is now between Tajikistan and Afghanistan.
In the show Steven Universe, Malachite is the fusion of Jasper and Lapis Lazuli.
** Please see page 638 of the book "The Italic Dialects" written by Robert Seymour Conway.
As a given name, it has found occasional usage in the English-speaking world from the late 19th century onwards.
A notable bearer was Italian painter Topazia Alliata (1913-2015).
In the English-speaking world, it was occasionally used from the late 19th century onwards.