What is the fastest way I can compare two equal-size bitmaps to determine whether they are identical?

I am trying to write a function to determine whether two equal-size bitmaps are identical or not. The function I have right now simply compares a pixel at a time in each bitmap, returning false at the first non-equal pixel.

While this works, and works well for small bitmaps, in production I'm going to be using this in a tight loop and on larger images, so I need a better way. Does anyone have any recommendations?

The language I'm using is C# by the way - and yes, I am already using the .LockBits method. =)

Edit: I've coded up implementations of some of the suggestions given, and here are the benchmarks. The setup: two identical (worst-case) bitmaps, 100x100 in size, with 10,000 iterations each. Here are the results:

CompareByInts (Marc Gravell) :   1107ms
CompareByMD5  (Skilldrick)   :   4222ms
CompareByMask (GrayWizardX)  :    949ms

In CompareByInts and CompareByMask I'm using pointers to access the memory directly; in the MD5 method I'm using Marshal.Copy to retrieve a byte array and pass that as an argument to MD5.ComputeHash. CompareByMask is only slightly faster, but given the context I think any improvement is useful.

Thanks everyone. =)

Edit 2: Forgot to turn optimizations on - doing that gives GrayWizardX's answer even more of a boost:

CompareByInts   (Marc Gravell) :    944ms
CompareByMD5    (Skilldrick)   :   4275ms
CompareByMask   (GrayWizardX)  :    630ms
CompareByMemCmp (Erik)         :    105ms

Interesting that the MD5 method didn't improve at all.

Edit 3: Posted my answer (MemCmp) which blew the other methods out of the water. o.O