If you navigate to where you have installed SQLExpress, e.g.
C:\Program Files\Microsoft SQL Server\110\Tools\Binn
You can run SQLLocalDB.exe and get a list of the all instances installed on your machine.
C:\Program Files\Microsoft SQL Server\110\Tools\Binn>SqlLocalDB.exe info
MSSQLLocalDB
ProjectsV12
v11.0
Then you can get further information on the instance.
C:\Program Files\Microsoft SQL Server\110\Tools\Binn>SqlLocalDB.exe info MSSQLLocalDB Name: MSSQLLocalDB
Version: 13.0.1601.5
Shared name:
Owner: Domain\User
Auto-create: Yes
State: Stopped
Last start time: 22/09/2016 10:19:33
Instance pipe name: