Home Postcode finder TAS Leith Leith postcode TAS Leith is a locality in Tasmania covered by postcode 7315. Postcode 7315 State or territory Tasmania (TAS) Region Tasmania Add a free Leith business listing Be the first listing in Leith Common questionsWhat is the postcode for Leith?Leith, TAS has the postcode 7315.What state is Leith in?Leith is in Tasmania (TAS).Does postcode 7315 cover more than one suburb?Yes. Postcode 7315 covers 17 localities, so the postcode alone does not identify Leith. Browse other postcodes in Tasmania, or widen the search to every Australian postcode.