Inter moved level with AC Milan, defending champions Napoli and Roma atop the Italian league standings. Those three clubs play on Sunday. It was the Nerazzurri's fifth straight win across all competitions.
Six minutes in at the San Siro on Saturday, Lautaro used one touch to finish off a counterattack.
Ange-Yoan Bonny scored and provided three assists, and Federico Dimarco and Nicolo Barella added more goals for Inter, before Federico Bonazzoli pulled one back for Cremonese.
With 158 goals across all competitions , Lautaro moved level in fifth place with Luigi Cevenini on Inter's scoring list, trailing only Giuseppe Meazza (284 goals), Alessandro Altobelli (209), Roberto Boninsegna (171) and Sandro Mazzola (161).
Lautaro's goal began with Barella stripping Cremonese of possession and feeding Bonny on the left flank. Bonny, playing in place of the injured Marcus Thuram, then crossed for Lautaro.
Bonny headed in a cross from Dimarco to make it 2-0 before the break.
Dimarco scored with a long, low shot following a corner, and Barella added another two minutes later after a full team move.
Former Leicester striker Jamie Vardy went on in the 58th minute for Cremonese.
In a regional derby on Saturday, Como and Atalanta fought out a 1-1 draw.
Lazar Samardzic put Atalanta ahead early on and Maximo Perrone equalised for Como with what appeared to be an attempt at a cross that sailed in off the post and had to be confirmed by goal-line technology.
Earlier, Lazio and Torino drew 3-3 in a match decided by a penalty kick from Lazio midfielder Danilo Cataldi 13 minutes into stoppage time.
Lecce won 1-0 at Parma for their first victory of the season with a first-half goal from Riccardo Sottil.
11°C