how common is the name kai
1 In Basque, Kai is a common word meaning pier of a harbour and a variant of the first name Kaio (from the old Latin name Caius). In Ancient Greek, Kai (ÎºÎ±Î¹) is a conjunction meaning and. 2  In Basque, Kai is a common word meaning pier of a harbour and a variant of the first name Kaio (from the old Latin name Caius). 3  In Burmese, Kai means strong or unbreakable.