SSMS supports all version of SQL Server that were supported at the time of it's release, and sometimes is given compatibility for newer versions in patches (if a new client is not released). For SSMS 2014 that would be SQL Server 2005-2014. If you don't need 2005 support (and why would you need support for a version that has been unsupported for 3.5 years), I don't see why you wouldn't use the latest version of SSMS (2018), which supports 2008-2019.
Excuse my typos and sometimes awful grammar. My fingers work faster than my brain does.