Firstly, one should install the laminate throughout the workspace, including under appliances with the exception of the dishwasher. However, when moving the fridge or stove back onto the new laminate, be sure to use a sheet of 1/4 inch plywood or other sturdy board on which to roll or skid the appliance to eliminate the chance of the rollers on some appliance (like our fridge) from causing roller grooves or scratches in the new laminate.
Lay the laminate as close to the front of the dishwasher as possible, then using a clear, latex sealer, apply a bead to seal the edge facing the washer at least 18 inches beyond each side of the washer to prevent any spilled water from infiltrating the laminate. If there are joint seams close to the front of the washer, I would apply a bead of ordinary wood glue (the white type) to each joint so they are made water tight as well. This should, in my opinion, extend out from the dishwasher at least 24 inches or at least the length of the washer door so any drips when it's open won't enter the seams.as well. If you wipe it down immediately after snapping the joint together it won't show....
Best of luck!