Note that I never signed anything in my lease forbidding me to have a washing machine--you might want to check your own lease for details. Also, my downstairs neighbors are cool with their dishes rattling when I do laundry.
Step 1: Extension Hoses
I extended the drain hose with 1-1/4" ID braided tubing--it is a friction fit around the outside of the drain hose (see the second photo). I secured it with a hose clamp. This works fine with a corrugated drain hose; I'm not sure how well it would work with a smooth surfaced hose.