The l1-1-6 version of this DLL is specific to .
The file "apimswincorememoryl116dll" appears to be a part of the Microsoft Windows API, specifically related to memory management functions within the Windows Core API.
Below are the ranked solutions, starting with the most effective and safest methods.
The api-ms-win-core-memory-l1-1-6.dll requires Windows 8.1 or later (with updates). Windows 7 SP1 can work after KB2999226, but some modern apps will still fail.
Third-party antivirus or system cleaners may be locking or deleting the DLL. A clean boot helps identify the conflict.