Genie and Liftmaster One Remote?

I had two Lift Master garage door openers and purchased the key chain Lift Master remote and they worked perfectly.One of my Lift Master garage door openers recently broke so i replaced it with a Genie garage door opener. I tried connecting Genie garage door opener to my Lift Master key chain and no luck. I really do not want to have two key chain openers on my keys. Was wondering if i could some how connect Genie to the key chain I have or is there one compatible key chain opener that can connect to both my Genie and Lift Master?
Thank You.

I’m afraid I don’t know if there is such keychain remote.

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