In general senses, not only UX or IT, Lean designates ongoing repetative methods of testing and trying product before implementation.
Agile is more related to project communication and it designates, flexible, adaptive way project teams collaborate with each other and with client.
as your question is upon the difference between two, so from my perspective there is no big difference.As both help in product development with high ROI.
Lean UX & agile UX are in fact put forward based on Lean Software Development & Agile Software Development. Lean UX, which makes “user experience” as its core, focuses more on the matching degree of ...