I agree with Bill regarding the size of the fitting the manufacturer used on their machine. Of course there is more to dust collection needs than the cfm. The speed of the air and size of the duct will ultimately determine the cfm. The general rule for air speed is a minimum speed of 4000 fpm (feet per minute) in a branch. That is the minimum value and you should shoot for between 4500-5000 fpm to maximize the collection of dust and chips on the CNC. The shape of the dust collection hood may require the larger diameter pipe to provide adequate air speed and cfm to collect the dust.
You're dust collector has a 15 hp motor on it. That is adequate in size but the problem I see is the filter area. Looking at similar Dustek models the filter area is only around 136 feet squared. The dust produced in a CNC can quickly coat such a small filter area and create excessive static pressure loss that the collector won't be able to overcome even with the larger motor. You will definitely need to shake your filters often.
I just published an article on our website today outlining the 5 key specifications of a dust collector to understand to choose the proper collector for your application. The article isn't meant to be overly technical, it's written more in layman terms to provide enough information without requiring a person become a dust collection expert. I have provided a link if you want to check it out.