Conaire Cóem ("the beautiful"), son of Mug Láma, a descendant of Conaire Mór, was, according to medieval Irish legend and historical tradition, a High King of Ireland. He came to power on the death of his father-in-law Conn Cétchathach, and ruled for seven or eight years, at the end of which he was killed by Nemed, son of Sroibcenn, in the battle of Gruitine. He was succeeded by Conn's son Art. Conaire had three sons by Conn's daughter Saraid: Cairpre Músc, ancestor of the Muscraige; Cairpre Baschaín, ancestor of the Corco Baiscind (the Muscraige and the Corco Baiscind were part of the early medieval federation of the Déisi Tuisceart); and Cairpre Riata, ancestor of the Dál Riata. The Lebor Gabála Érenn synchronises his reign with that of the Roman emperor Commodus (180-192). The chronology of Geoffrey Keating's Foras Feasa ar Éirinn dates his reign to 136-143, that of the Annals of the Four Masters to 157-165.