Local field potentials (LFPs) are involved in the dynamic control of large-scale information flow across brain areas. Still, their effects on local neural circuits have not yet been fully studied. Here, we recorded LFPs from the lateral prefrontal cortex (lPFC) of monkeys performing a shape manipulation task and analyzed their local time–frequency dynamics. Specifically, we evaluated the similarity of task-dependent LFP modulation at each recording site using cluster analysis and found that the spatial distribution of clusters changed dynamically, demonstrating that individual recording sites exhibited various properties. However, there was no significant difference in the similarity of the properties of recording sites at distances of 1 mm or more. These results suggest that LFPs exert differential functional modulation even at the level of the local neural circuit.