We report exchange coupling in bilayers and trilayers with alternating layer of ferromagnetic (F)-La_2/3Ca_1/3MnO₃ and antiferromagnetic (AF)-La_1/3Ca_2/3MnO₃ compositions, grown on (001) oriented SrTiO₃ single crystal by a high-oxygen pressure sputtering process. We observe from isothermal magnetic measurements between 5 K and ~150 K a shift of the hysteretic loops towards negative fields, evidencing an exchange bias mechanism (Hex) in these heterostructures. We applied two different values of the field cooling (FC), 500 Oe and 1500 Oe. Hex exhibits an exponential decrease with temperature below ~100 K. Fitting the experimental data to a exponential function, we found that the fitted parameter is within the error bar the same, whereas the fitted To parameter is different indicating that the FC value could affect the magnetic state when the exchange biasing is established in the AF-F interface.