A method is implemented by a network element to improve efficiency of loop free alternative (LFA) path computation by caching data from a shortest path first calculation for use in the LFA path calculation. The shortest path first calculation determines a shortest path from a source vertex to each vertex in a network topology graph representing the network in which the network element operates, where an endpoint for each shortest path is the shortest path vertex, and where each shortest path determined by the shortest path first calculation is stored.