Please ignore code readability in this question.
In terms of performance, should the following code be written like this:
int maxResults = criteria.M
It will be called and evaluated every time. The compiler has no way of determining if a method (or getter) is deterministic and pure (no side effects).
Note that actual evaluation of the property may be inlined by the JIT compiler, making it effectively as fast as a simple field.
It's good practise to make property evaluation an inexpensive operation. If you do some heavy calculation in the getter, consider caching the result manually, or changing it to a method.