DMAIC:

Define, Measure, Analyze, Improve, Control: Phase names for Six Sigma projects
History: Six Sigma branded by Motorola, popularized by GE, with roots in TQM, Walter Shewhart
When to use?: when it's a deep-rooted, complex problem, high variation in process, generally yield related
Tools/terminology: C&E, FMEA, GageR&R, SPC, SIPOC

Lean:

PDCA cycle. (Plan, Do, Check, Act) or (Plan, Do, Check, Adjust) (a.k.a. Deming Wheel)
History: “Lean” term coined to describe the Toyota Production System. Inspired by early Ford production system.
When to use?: improve productivity and reduce waste
Tools/Terminology: Takt time, Value Stream Mapping, Kanban, 5S

What's similar between the methods?

Disciplined Phased approaches to problem solving

Common concerns/questions:

Can there be cases when more than 1 of these methodologies can be applicable?
What would happen if I choose the wrong methodology to approach a problem?

Recap Episode

Use DMAIC when it's a deep rooted, complex problem, generally yield related. Use Lean to improve productivity and reduce waste. Use 8D for rapid problem solving and corrective action. Use DFSS when designing or redesigning a process or product to a higher performance standard.

***A variety of methods to choose from - The E6S-Methods Toolbox Holds it All***"