The bolt face can't be "reamed out" but it can be opened to magnum dimension with a single point cutting tool. You will need a magnum extractor, which are very hard to come by, or the original extractor will need to be modified for the magnum. Your best option is to buy an action already set-up for the WSM cartridges as there will be serious feed issues that will need to be delt with if you use your Winchester LA. If money is no object and you don't mind paying for labor, use your Winchester. If cost is a factor, find an action already for the WSM and sell your Winchester to help off-set costs.