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The effect of interactions on the blocking temperature of granular magnetic films is modeled using a variable time step Monte Carlo method. Both magnetostatic and exchange interactions are considered in the calculation of field cooled magnetization curves. Cubic grains with 28 Å side lengths are randomly packed within a larger cubic volume. Each grain has a random crystalline easy axis. For the parameters simulated, magnetostatic interactions do not have an effect on the blocking temperature, and exchange interactions cause average blocking temperatures to increase. © 2001 American Institute of Physics.