Which state for personal income tax for a Wyoming LLC
Indeed, the state of Wyoming does not have personal income tax. However, this really only applies to residents of the state. As an LLC is a pass-through entity, the income of the business goes directly to the owner(s)' personal income, domestically or internationally, without having to file it's own taxes with the state.
While we are professional incorporators, we are not professional financial advisers. Taxation of international owners of LLCs differs a bit from that of domestic owners, and also you may still have to pay income taxes in your country of residence. I would highly suggest consulting an accountant familiar with international tax laws to find what, if any tax obligations you would be responsible for by registering a Wyoming LLC.