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The low energy RHIC electron cooler (LEReC) is currently under commissioning at BNL to improve RHIC luminosity for heavy ion beam energies below 10  GeV/nucleon. The linac of LEReC consists of a dc photoemission gun, one 704 MHz superconducting radio frequency booster cavity, and three normal conducting cavities. It is designed to deliver a 1.6–2.6 MeV electron beam, with peak-to-peak momentum spread dp/p of less than ±7×10^{-4}. Two of the three normal conducting cavities will be used in LEReC for energy spread correction: a single-cell 704 MHz cavity for energy dechirping and a three-cell 2.1 GHz third harmonic cavity for rf curvature correction. In this paper, we present the designs and rf test results of these two cavities.