A small-scale organic crop producing the protected geographical indication (PGI) cultivar “Faba Asturiana”, located in northern Spain, was considered to be a case study for analyzing the environmental impacts associated with the production of this legume (Phaseolus vulgaris L.). The life cycle assessment (LCA) methodology was employed for the analysis with a “cradle-to-gate” perspective, with 1 kg of dry beans as the functional unit. The results demonstrated that the main contributor to the environmental impacts was electricity consumption (with percentages above 75% for ionizing radiation, freshwater eutrophication, terrestrial ecotoxicity, and non-carcinogenic toxicity). A carbon footprint (CF) of 1.20 kg CO2eq per kg of dry beans was obtained (around 1000 kg CO2/ha·y). Electricity consumption was the major contributor to the CF, followed by atmospheric emissions from waste incineration and diesel use. Furthermore, some environmental improvements were suggested, and three alternative scenarios were investigated. In conclusion, it can be established that the CF of the studied PGI bean is within the range reported by other researchers for leguminous crops. The easiest way to reduce the CF for this particular crop would be to compost the organic waste instead of burning it. Additionally, the most effective strategy would be to reduce energy consumption or use renewable energy sources. For example, if the energy supply were obtained through in situ solar production, the CF could be reduced by more than 40%.