Cloud computing is increasing the demand for large scale, energy efficient, and fast computing systems. One circuit technique satisfying these goals is dynamic logic. Furthermore, since portability is not required for cloud computing centers, these systems can support cryogenic operation. Cryogenic dynamic circuits eliminate the seminal issue of these circuits, loss of logic state due to leakage currents. The operation of dynamic CMOS circuits operating at cryogenic temperatures is discussed in this paper. For a 160 nm MOSFET technology, dynamic logic at room temperature can operate as low as 180 kHz. The same circuit in a cryogenic temperature can operate at DC. The state in a dynamic logic circuit operating at cryogenic temperatures is shown to remain indefinitely. This property makes low frequency testing of dynamic logic more feasible, supporting the development of complex VLSI circuits targeting high frequency applications such as cloud computing.