LocalDB IS SQL Server Express (introduced with SQL Server 2012 Express), and the .mdf
file is identical between LocalDB and SQL Server Express (and even a "full" SQL Server edition like Web, Standard or Enterprise Edition).
The only caveat is: you need to be using the same versions of those databases, since the file format is only identical amongst same versions, and can only be used amongst the same versions (e.g. 2012) - or it can be "upgraded" to the next newer version (e.g. you could move a database from LocalDB 2012 to a SQL Server 2014 Express once it's released) - but you can never go back down to an earlier version (you cannot take a LocalDB 2012 .mdf
database file and attach it to a SQL Server 2008 version).