A method for liquefying a natural gas feed stream and removing nitrogen therefrom, the method comprising: (a) passing a natural gas feed stream through a main heat exchanger to cool the natural gas stream and liquefy all or a portion of said stream, thereby producing a first LNG stream; (b) withdrawing the first LNG stream from the main heat exchanger; (c) expanding and partially vaporizing a liquefied or partially liquefied natural gas stream, and introducing said stream into a distillation column in which the stream is separated into vapor and liquid phases, wherein the liquefied or partially liquefied natural gas stream is the first LNG stream, or is an at least partially liquefied nitrogen-enriched natural gas stream formed from separating a nitrogen-enriched natural gas stream from the first LNG stream or from the natural gas feed stream and at least partially liquefying said stream in the main heat exchanger; (d) forming a nitrogen-rich vapor product from overhead vapor withdrawn from the distillation column; (e) providing reflux to the distillation column by condensing a portion of the overhead vapor from the distillation column in a condenser heat exchanger; and (f) forming a second LNG stream from bottoms liquid withdrawn from the distillation column; wherein refrigeration for the main heat exchanger and for the condenser heat exchanger is provided by a closed loop refrigeration system, refrigerant circulated by the closed loop refrigeration system passing through and being warmed in the main heat exchanger and passing through and being warmed in the condenser heat exchanger; and wherein refrigeration for the condenser heat exchanger is also provided by warming overhead vapor withdrawn from the distillation column, wherein: step (e) comprises warming overhead vapor withdrawn from the distillation column in the condenser heat exchanger, compressing a first portion of the warmed overhead vapor, cooling and at least partially condensing the compressed portion in the condenser heat exchanger, and expanding and reintroducing the cooled and at least partially condensed portion back into the top of the distillation column; and step (d) comprises forming the nitrogen-rich vapor product from a second portion of the warmed overhead vapor. (a) passing a natural gas feed stream through a main heat exchanger to cool the natural gas stream and liquefy all or a portion of said stream, thereby producing a first LNG stream; (b) withdrawing the first LNG stream from the main heat exchanger; (c) expanding and partially vaporizing a liquefied or partially liquefied natural gas stream, and introducing said stream into a distillation column in which the stream is separated into vapor and liquid phases, wherein the liquefied or partially liquefied natural gas stream is the first LNG stream, or is an at least partially liquefied nitrogen-enriched natural gas stream formed from separating a nitrogen-enriched natural gas stream from the first LNG stream or from the natural gas feed stream and at least partially liquefying said stream in the main heat exchanger; (d) forming a nitrogen-rich vapor product from overhead vapor withdrawn from the distillation column; (e) providing reflux to the distillation column by condensing a portion of the overhead vapor from the distillation column in a condenser heat exchanger; and (f) forming a second LNG stream from bottoms liquid withdrawn from the distillation column; wherein refrigeration for the main heat exchanger and for the condenser heat exchanger is provided by a closed loop refrigeration system, refrigerant circulated by the closed loop refrigeration system passing through and being warmed in the main heat exchanger and passing through and being warmed in the condenser heat exchanger; and wherein refrigeration for the condenser heat exchanger is also provided by warming overhead vapor withdrawn from the distillation column, wherein: step (e) comprises warming overhead vapor withdrawn from the distillation column in the condenser heat exchanger, compressing a first portion of the warmed overhead vapor, cooling and at least partially condensing the compressed portion in the condenser heat exchanger, and expanding and reintroducing the cooled and at least partially condensed portion back into the top of the distillation column; and step (d) comprises forming the nitrogen-rich vapor product from a second portion of the warmed overhead vapor.