The present invention relates to methods for purifying one or two cannabinoid compounds using simulated moving bed chromatography, wherein the cannabinoid compound(s) is/are obtained in the extract and/or the raffinate with the total amount of isomeric impurities being below detection level. In particular, the present invention relates to methods for the purification of cannabidiol, trans-(−)-delta-9-tetrahydrocannabinol, cannabidivarin, trans-(−)-delta-9-tetrahydrocannabivarin and cannabigerol which have been obtained by enantiopure synthesis.