Did you know you can book some hotels through multiple loyalty programs? I tested it out

While planning my recent solo trip to Lisbon, I stumbled on an interesting fact: Some hotels belong to more than one major hotel loyalty program.Such was the case with The Vintage Lisbon, which can be booked through both Hilton Honors and World of Hyatt.After double checking both websites and scrolling through photos to confirm that it was, in fact, the same property, I decided to book a stay to test it out. Here's what I learned, and how you can take advantage of this little-known phenomenon.Related: The 13 best hotels in LisbonDeciding where to bookRACHEL CRAFT/THE POINTS GUYThe biggest benefit of multi-platform hotels is that they give travelers more options for booking — and, thus, maximizing rewards.For the Vintage Lisbon, Hyatt's award rates were significantly lower on my dates: 24,250 World of Hyatt points per night compared to 70,000 Hilton Honors points.HYATTHILTONUnfortunately, my Hyatt account was pretty much depleted. I could have transferred 49,000 Chase Ultimate Rewards to World of Hyatt to book my two-night stay, but I was hoping to save my Chase points for a big United MileagePlus redemption down the road.On the other hand, I had plenty of Hilton points on hand. I h...