Could there be legal issues with having the same company name?

Question Details: I am in the process of forming a lawncare/snow removal company for my local city. Our business model is unique to our industry and we have decided on a name. Everything thus far has been completely organic. The name itself has no infringements on any active trademarks or copyrights. However, we recently found another business in a different state that operates under the same name and provides similar services. Could this be a potential problem for the formation of our LLC?

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