How to change a playlist's name on Spotify using the desktop or mobile app

You can edit the name of your Spotify playlist on the mobile and desktop apps.
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You can change a playlist's name on both the Spotify desktop and mobile apps, but you will need to be the owner of the playlist. 
To change a playlist's name on the Spotify mobile app, first access it from the "Your Library" tab before selecting "Edit Playlist" from the three-dotted Settings menu. 
You can change a playlist name on the Spotify desktop app by selecting "Edit Det