When choosing compressor you need to consider if it can constantly provide desired pressure and volume of air. Small airbrush Air Compressor For Laser Cutting compressors little compressors boast amazing pressure figures but really poor flow rates adequate limited to airbrush pistols. Also if small compressor would be able to push enough air it’ll likely overheat in short while.
Our laser cutter came with little membrane pump (Smallest on the picture), I really do not know what specifications it has but blast of air was very weak. It is adequate if all you want to accomplish is engrave, although actually then we got significant smoke traces around engraved picture.
it was rated for level of ~2.4cfm and had a 1 gallon container which may be filled to 58 PSI. It were able to give us constant 1 bar (14 PSI) of pressure, nonetheless it had to operate constantly and overheat badly within five minutes.
Third and current compressor we got was 6cfm rated belt driven unit with 13 gallon tank which is filled to ~100psi. With this unit we are able to run at continuous ~2bar (31psi) without fear of overheating since compressor engine isn’t on continuously. Using reserve air in tank we are able to also press up to 3.5bar (50psi) for short jobs.
The best setup in my opinion would be compressor rated to >6cfm, huge 70+ gallons tank rated to 10bar (140psi) and software air control via solenoid valve.