I know many Yoshida, and I don't know how many of them are Kichida.
I don't think it it a common name, it may be uncommon reading of
very common 吉田.
Searching Google on "吉田 and Kichida", most of the hits in the first
page is 吉田Bakary (I don't know what) and some from some fictions,
one facebook page of person seems to be with last name "Kichida",
and the rest "Japanese last names" pages written by non-Japanese... 8)
Look this page
http://hsn.roryjsk.org/index.php?topic=1805.0
> 吉田 205305 Kichida
> 吉田 205305 Yoshida
The same number means it's the number of 吉田, where the person who
wrote couldn't distinguish if they are Kichida or Yoshida.
(And I'd bet more than 99% of them are actually Yoshida)
muchan