This message was posted on behalf of Intel Corporation
Looks like a certificate issue that is causing the LMS service to stop. On the system having the issue, go to c:\program files (x86)\Intel\Intel(r) Management Engine Components\LMS and right click common.dll, properties, digital signatures. Click the certificate and details. Hopefully by doing this, the OS will go out and refresh the cert but if not, you will see an error here. You'll need to fix this issue and LMS will work.
You can reference this link for more information:
Also if you are having an error with the certifcate, in the windows application event log there should be a recent CAPI2 and this will have information on any issues with the certificate.