OP: It's a LeCoultre, not a Jaeger LeCoultre.
LeCoultres are US market watches. If gold, the cases were made by a contractor in the USA, then shipped to NY to Longines. They had a LeCoultre division (even employing the same sales reps for both brands) assemble the watch with movements imported to America (hence the VXN). Stainless steel could be an all Swiss made case as yours is, or an American made case. The story is much more detailed, but that's the crux of it.
Nice watch!
EDIT: that serial number is from the early 40's IIRC - I'll check tonight if I remember.
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