In the upper right hand corner of your screen, look for the tiny picture of yourself (or a blank image if you don’t have a LinkedIn profile photo)–this will be at the very top and right of your screen regardless of whether you’re on your home screen, profile, whatever; hover over this image to get the account and settings drop-down menu. From that menu, choose “Privacy and Settings.”
You will arrive at the main settings dashboard. Once there, look in the upper left for the option to change your password and select that.
You will probably be prompted to log in again, so do that.
Enter your new password and save the changes — you’re done!