The most recent results from searches for leptoquarks are presented using pp collision data collected by the CMS experiment at a centre-of-mass energy of 13 TeV. A variety of final states is considered, probing leptoquark couplings to a quark and a neutrino, a top quark and a muon, a b quark and a tau lepton, and a light-flavour quark and a muon or an electron. No evidence is observed for physics beyond the standard model and 95% confidence level (C.L.) limits are set on model parameters for scalar and vector leptoquarks.