Your weight is not evenly distributed on a bicycle. The rear wheel supports the majority of weight, and your tires should be inflated accordingly. Inflating both tires to max recommended pressure suggests you're doing it wrong.
Tires should compress slightly under the burden of rider weight. The amount of compression is sometimes called "tire drop" and can be measurably close to a 15% reduction in height. If the sidewalls don't squish out slightly at the bottom of the revolution, the psi is likely too high.
Automobile tires have max psi ratings listed on their sidewalls, too, but you don't just inflate them to this max pressure. Rather, you inflate according to what your vehicle (and load) requires - and that's typically considerably less.