Life Cycle Assessment (LCA) is one of the most widely used tools to determine environmental impact of products and processes. One of the main concerns with the life cycle assessment tool is the limited comparability of LCA results due to limitations in defining the functional unit. In response to this, an object-oriented approach has been proposed and further developed by related research. This object-oriented approach relies on the calculation of a Cumulative Damage Function (CuDF) to quantify the amount of consumed life in each item in the bill of materials used in an LCA. The focus of this work is to develop a framework to quantify CuDF that leverages exiting reliability and life estimation methods, namely the concepts of Remaining Useful Life (RUL) and Failure Modes and Effects Analysis (FMEA). The framework is applied to a simple example to motivate its use and utility.