What Active Directory (AD) can SharePoint support is a good question. In general Sharepoint is compatible with the Active Directory going all the way back to 2003 but the real issue is with Exchange support or Windows Server support.
SharePoint 2016 – AD (2016 – 2003)*
SharePoint 2013 – AD (2016 – 2003)*
SharePoint 2010 – AD (2016 – 2003)*
| Active Directory | 2016 | 2013 | 2010 |
| 2000 | |||
| 2003 | X | X | X |
| 2003 R2 | X | X | X |
| 2008 | X | X | X |
| 2008 R2 | X | X | X |
| 2012 | X | X | X |
| 2012 R2 | X | X | X |
| 2016 | X | X | X |
* Denotes missing supported documentation
Exchange Server Supportability Matrix
https://technet.microsoft.com/en-us/library/ff728623(v=exchg.150).aspx
Exchange Integration will require correct AD version
https://sharepoint.stackexchange.com/questions/62119/can-we-install-sharepoint-2013-with-2012-server-but-the-domain-controller-and-ex
Windows Server: Active Directory Schema Versions
https://marclsitinfrablog.wordpress.com/windows-sharepoint-articles-posts/windows-server-articles-posts/windows-server-active-directory-schema-versions/
Windows Server Support Matrix (2013)
https://www.habaneroconsulting.com/stories/insights/2013/sharepoint-windows-support-matrix
| Server | 2016 | 2013 | 2010 | 2007 | 2003 | 2001 |
| 2016 | X | |||||
| 2012 R2 | X | |||||
| 2012 | X | |||||
| Win 8 | ||||||
| 2008 R2 | X | X | S | |||
| Win 7 | D | |||||
| 2008 | S | |||||
| Vista | D | |||||
| 2003 R2 | X | X | ||||
| 2003 | X | X | ||||
| 2000 | X |
X Supported
S Service Pack required
D Developer only
More from The Cloud Engineer
Create AD User in SharePoint
http://thecloudengineer.blogspot.com/2013/02/create-ad-user-in-sharepoint.html
Auditing in SharePoint
http://thecloudengineer.blogspot.com/2013/11/auditing-in-sharepoint.html