LoadLibrary() error code 127

I'm having trouble with LoadLibrary() and getting an error that doesn't make sense to me:

   ::SetLastError(0);

   m_hDll = ::LoadLibrary(szName);

   if (m_hDll == NULL) // Failure to load the DLL.
   {
      DWORD err = GetLastError();
   }

The error is 127 ("The specified procedure could not be found.") That doesn't make any sense to me on a call to LoadLibrary(). I haven't called GetProcaddress() yet.

The DLL (and the application) are both compiled with VS++ 2005 SP1.

What could be going wrong?