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Hi, I'm Mike G and I'll be assisting you. To split the circuit would mean running a new additional circuit to the panel. I would suggest that only 20A circuits should be in a kitchen. Your existing circuit having the 2 appliances on it is a normal installation but should have been 20A. If the wire is a #12, you may only need to replace the breaker.
You're welcome. If you have access from below, installing a new circuit to the dishwasher would be the easiest way to split the units.