Electric machine having a first circuit and a second circuit, method for cooling an electric machine and motor vehicle having an electric machine

An electric machine includes a first circuit through which a first working fluid can flow and a second circuit through which a second working fluid can flow. The first circuit and the second circuit are formed hermetically. In order to cool the electric machine particularly well, the first circuit and the second circuit have a common heat exchanger surface which is constructed in such a way that thermal energy from the first working fluid of the first circuit can be transmitted to the second working fluid of the second circuit or vice versa from the second working fluid to the first working fluid by way of the heat exchanger surface. A method for cooling an electric machine and a motor vehicle having an electric machine are also provided.