Is it safe for me to change the bundle identifier of an Xcode iOS project in an app already in App Store?

I have an iOS app already on the App Store. I just changed my business to an LLC. I would like to change the bundle identifier in the next version of the app to reflect my new website address.

What would happen if I did this? I want to decide whether it would be worth the trouble.

Is it safe for me to change the bundle identifier of an Xcode iOS project in an app already in App Store?
 
 
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