Method of producing ethylene and, optionally, propylene by subjecting a feedstock to steam cracking to produce a first olefin containing stream; heating an ethanol containing stream with heat from a steam cracker; passing the heated ethanol containing stream over a dehydration catalyst at a temperature between 200 C to 500 C preferably 250 C to 450 C to produce a second olefin containing stream; and combining the first and second olefin containing streams to give an initial product stream containing ethylene and optionally propylene. The initial product stream is subjected to purification including at least i) water content reduction ii) hydrogen content reduction iii) reduction of content of molecules containing 4 or more carbon atoms and iv) ethane content reduction.