Here is the information I just got back from Longines about mine, which has the LXW on the movement as well. It has the same order number as the one pictured above:
"Originally, the serial number 6'072'xxx identifies a wrist-chronograph in stainless steel bearing the reference 3870 and the order number 21153. It is fitted with a Longines manual wound mechanical movement, caliber 13ZN. It was invoiced on 3 February 1944 to the Longines-Wittnauer Watch Co., INC., which was at that time our agent for the USA."
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