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We report photometric observations of RZ LMi, a SU Uma-type dwarf nova. Objects of this type have a short orbital period (less than 2.5 hours) and exhibit two types of outbursts,- normal and superoutbursts, which are usually brighter than normal ones. During a superoutburst, such systems exhibit light modulations called superhumps, the period of which is slightly longer than the orbital period of the system. Superoutbursts in the RZ LMi system occur regularly approximately every 19 days and last about 10 days. During such events, the system's V magnitude increases from 16.5 to 14 mag. Superhumps were detected early in the RZ LMi light curve during superoutbursts with a period of 0.05946 days. Our observations carried out both during superoutbursts and in the quiescent state. The new photometric measurements of this star, carried out with the 50-cm telescope of the Kislovodsk Optical Station of INASAN in the V band, together with our previous CCD observations obtained with the 60-cm telescope of the Sternberg Astronomical Institute Observatory in Crimea are analysed. Our observations clearly show the existence of superhumps during a superoutburst in the light curves of RZ LMi. We also detect periodic variations in brightness in the quite state. The average period of the superhumps, together with the period of these brightness variations, was determined from our data.