Copenhagen moved to within a point of leaders Odense courtesy of a 2-0 home win over Midtjylland.
Atiba Hutchinson set the hosts on their way after five minutes and Dame Ndoye made the game safe two minutes from time.
Brondby remain fourth, but lost ground on the pace-setters thanks to a 1-0 defeat at Aarhus. Peter Graulund grabbed the game's only goal just after the quarter-hour mark.
Substitute Christian Holst was Silkeborg's hero in a 1-0 victory at Nordsjaelland, netting the late winner 14 minutes after his introduction.
Finally, bottom club Randers picked up only their fifth point of the season with a goalless draw against Sonderjyske.
