LR 6 has been available for several weeks. The latest version if PS is 2014.2.2 Are you having a problem upgrading?
If you have a subscription and don't see the update to LR CC 2015 (LR 6) you may need to sign off and back in: https://helpx.adobe.com/creative-cloud/help/sign-in-out-activate-apps.html
If you want to buy a stand-alone upgrade from LR5 to LR6, go here: http://www.adobe.com/products/catalog/software.html, scroll down to LR and hit Buy.
You may also need this to license the installation as stand-alone: https://helpx.adobe.com/lightroom/kb/serialize-lightroom-cc-trial-to-activate-as-lightroom -6.html
Yes it says I am up do date with software but still have Lightroom 5?
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