Bluetooth mouse and keyboard not connecting from iMac to MacBook Air

Bluetooth keyboards and mice can be paired with multiple Macs, but they can only actively connect to one device at a time. That means if a Bluetooth keyboard or mouse is already connected to one Mac, it won’t automatically connect or be available to another Mac unless it’s disconnected from the first one. You must unpair or turn off Bluetooth on the current Mac, or manually disconnect the accessory before pairing it with another Mac.

Even though you can pair the same Bluetooth device individually with multiple Macs, it does not support simultaneous connections. Most standard Bluetooth keyboards and mice lack the ability to “switch” between devices unless they specifically support multi-device pairing — like Logitech’s “Easy-Switch” devices or Apple’s Magic Keyboard with Touch ID for Mac (which is more limited and bound to Apple Silicon Macs).

So, in summary:

• Yes, you can pair a keyboard/mouse with several Macs.
• No, it can’t connect to more than one at a time.
• Switching requires disconnecting from one Mac and connecting to another — sometimes manually.

If the device seems “stuck” on one Mac, try turning Bluetooth off on that Mac or putting the device in pairing mode again.