As nouns the difference between lai and laic
is that
lai is a mostly North European form of medieval song, with stanzas that do not repeat while
laic is a layperson, as opposed to a member of the clergy.
As a proper noun Lai
is a Tibeto-Burman language of India and Burma.
As an adjective laic is
lay, relating to laypersons, as opposed to clerical.