TSM2018, as already mentioned, you should name materials by their chemical name to avoid confusion. Plexiglas, Altuglass, Perspex, … are acrylic or PMMA brands.
Lexan is a polycarbonate brand, which is absolutely not the same material.
The brand is not relevant, the chemical composition is.
AFAIK (but I have no practical experience for this), you can laser cut acrylic. I'm not surprised by Steven's comment. But he is mentioning a high end laser brand, probably powerful and with a good air extractor. Maybe it doesn't cut well on amateur laser or people don't want to cut it because of gaz emanations.
Have a look at this link: https://howtolaser.com/blog/how-to-laser-cut-acrylic/