Max inscribed vs Least squares

Max inscribed vs Least squares

Hi All, 

I'm doing some investigative programming. I'm measuring a machined 30mm (-0/+.021mm) bore as a cylinder twice in my program using the same amount of points each, once using the Least squares algorithm, and once using the max inscribed algorithm, to see what kind of differences I see. There are a couple occasions when the least squares actually comes out .001-.002mm SMALLER than the max inscribed. I've always assumed the max inscribed would always be smaller. 

Can anyone point to a scenario where the least squares would actually be smaller?