Described herein are methods and systems for producing a liquefied natural gas (LNG) product by cooling and liquefying a natural gas stream via indirect heat exchange with a gaseous refrigerant and then flashing and separating the liquefied natural gas stream to obtain the LNG product. In particular, the gaseous refrigerant may be a refrigerant circulating in a reverse Brayton cycle. The gaseous refrigerant is warmed in the shell side first, second and third coil-wound heat exchanger sections each having a tube side and a shell side, the shell side of the first coil-wound heat exchanger section being separated from and operating at a different pressure to the shell side of the second and third coil-wound heat exchanger sections.