Limestone is an unincorporated community on the western border of Washington County and the eastern border of Greene County in the northeastern part of the U.S. state of Tennessee. Its zip code is 37681. Limestone is part of the Johnson City Metropolitan Statistical Area, which is a component of the Johnson City-Kingsport-Bristol, TN-VA Combin…Limestone is an unincorporated community on the western border of Washington County and the eastern border of Greene County in the northeastern part of the U.S. state of Tennessee. Its zip code is 37681. Limestone is part of the Johnson City Metropolitan Statistical Area, which is a component of the Johnson City-Kingsport-Bristol, TN-VA Combined Statistical Area – commonly known as the "Tri-Cities" region.
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