When choosing compressor you have to consider if it will be able to Air Compressor For Laser Cutting china constantly provide desired pressure and level of air. Little airbrush compressors small compressors boast amazing pressure figures but really poor flow rates enough limited to airbrush pistols. Even if small compressor would be able to push enough air it'll likely overheat in couple of minutes.
Our laser cutter was included with small membrane pump (Smallest upon the picture), I do not know very well what specifications it has but stream of air was extremely weak. It is sufficient if all you want to do is engrave, although even then we got significant smoke traces around engraved picture.
it had been rated for level of ~2.4cfm and had a 1 gallon container which may be filled to 58 PSI. It managed to give us continuous 1 bar (14 PSI) of pressure, nonetheless it had to run at all times and overheat badly within 5 
minutes.
Third and current compressor we got was 6cfm rated belt driven device with 13 gallon container 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 at all times. Using reserve air in tank we are able to also force up to 3.5bar (50psi) for short jobs.
The best setup for me will be compressor rated to >6cfm, large 70+ gallons tank rated to 10bar (140psi) and software air control via solenoid valve.