The paper presents a coordinated day-ahead and intra-day approach for the scheduling of the resources in a local energy community (LEC). The considered LEC consists of a collective of power prosumers that can directly trade energy with each other in addition to the external provider. The scheduling approach is based on the alternating direction method of multipliers and aims at minimizing the total energy procurement costs, assuring that each participant has an economical advantage in being part of the community. To cope with the uncertainties of the renewable power generation and consumption during the day, a day-ahead multistage stochastic optimization approach is combined with an intra-day rolling-horizon optimization procedure. The effectiveness of the approach is supported by numerical simulations for several case studies in which the LEC prosumers are either connected to the same low-voltage network or directly to the medium-voltage level.@en