When choosing compressor you have to consider if it can constantly provide desired pressure and level of air. Little airbrush compressors little compressors boast impressive pressure figures but really poor flow rates adequate limited to airbrush pistols. Even if small compressor would be able to push enough air it’ll Air Compressor For Laser Cutting china likely overheat in short while.
Our laser cutter was included with small membrane pump (Smallest upon the picture), I do not know what specifications it has but blast of air was very weak. It is adequate if all you have to to do is 
engrave, although actually then we got significant smoke traces around engraved picture.
it had been rated for volume of ~2.4cfm and had a 1 gallon container which can be filled to 58 PSI. It managed to give us continuous 1 bar (14 PSI) of pressure, but it had to run constantly and overheat badly within 5 minutes.
Third and current compressor we got was 6cfm rated belt driven device with 13 gallon tank which is filled to ~100psi. With this unit we can run at continuous ~2bar (31psi) without fear of overheating since compressor engine isn’t on constantly. Using reserve surroundings in tank we are able to also push up to 3.5bar (50psi) for brief jobs.
The best setup in my opinion will be compressor rated to >6cfm, huge 70+ gallons tank rated to 10bar (140psi) and software air control via solenoid valve.