Grain boundaries play an important role in low-field magnetoresistance of La_{0.7}Ca_{0.3}MnO_{3} and La_{0.7}Sr_{0.3}MnO_{3} thin films deposited by magnetron sputtering and pulsed laser deposition on YSZ(100) and silicon substrates buffered by YSZ. Well-pronounced low-field magnetoresistance hysteresis was observed in magnetic fields applied in in-plane and out-of-plane directions. High values of local magnetoresistance sensitivity d(MR)/dH in the vicinity of the coercive field were obtained reaching up to 0.2%/Oe for La_{0.7}Ca_{0.3}MnO_{3} samples at 5 K.
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