It depends on the state, and the honest range runs from the same business day to about three weeks, with no federal or nationwide standard governing any of it.
Colorado is the fast end we could verify directly. Colorado's own Secretary of State site states that documents submitted online are filed in real time: the filing is processed the moment payment confirmation comes through, no queue and no waiting period. Colorado requires LLC formation documents to be filed online, so that real time processing is not an optional fast lane, it is the only lane.
California sits in the middle, and it is the one state that publishes its own live queue so you do not have to guess. The Secretary of State's processing dates page names the exact filing date its examiners are currently working through, for both online and paper submissions, and updates it as they move through the backlog. Checking it the week of September 21, 2026, the office was working on online Articles of Organization filed September 17 and mailed ones filed September 14: roughly a two business day wait online, about a week by mail. California also sells three paid tiers if you cannot wait: 24 hour service for $350, 4 hour service for $500 (drop off only, and the document has to be precleared first), and same day service for $750 if it reaches them by 9:30am.
Wyoming is the slow end, and it is slow by design rather than backlog. The state's own Articles of Organization instructions say processing takes up to 15 business days from the date of receipt, filings are worked strictly in the order they arrive, and Wyoming statutes do not allow for expedited filing at all. There is no fee that buys you a faster spot in that state, which is unusual: most states that are slow at least sell a way around it.
If you are mid wait right now, the most useful thing to do is go find your own state's version of the pages above rather than trust a blog's remembered number, because these dates move and most explainers quote whatever figure they found once and never update. A growing number of states, California included, now publish that current queue date directly. If your state does not, its filing portal or Secretary of State phone line is the only source that is actually current.
One more practical note: if a deadline is driving the question, a bank account opening, a contract that names a start date, an investor closing, the expedite fee is almost always the better trade than losing days or weeks. Wyoming is the exception worth knowing before you pick a state for speed: it is inexpensive and well liked for other reasons, but if you need the entity fast, budget for its full 15 business days because there is no way to shorten it.