Question re interchangeability of power adapters for Latitude

I bought a new Latitude d600 for my daughter to take to college, and it came
with a power adapter identified as: 90W A/Cadapter, PA-10 Family, Model No
PA-1900-02D. I use a Latitude D600 at work and have an extra adapter for it
that I would like to confirm is compatible, however the information is somewhat
different, i.e. listed simply as an A/C Adapter, PA-10 family, Model NADP-90KB
A.
Both list the same output:19.5v 4.62A.

can anyone confirm these are compatible, and interchangeable?
Thank-you