can you use the Porsche Design mobile drive P'9223 for two different apple computers?

We have an 2013 iMac and a MacBook Pro 2013, both using Maverick.

LaCie 500GB Porsche Design P'9223 USB 3.0 Slim Hard Drive

LaCie 500GB Porsche Design P'9223 USB 3.0 Slim Hard Drive

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