Lat Long to Utm

Geodetic Metrology & WGS 84 Transverse Mercator Standards

The Universal Transverse Mercator (UTM) system divides the Earth between 80^ and 84^ latitude into 60 longitudinal zones, each 6^ wide (1 to 60, starting at 180^):

Primary UTM Parameters

• Reference Ellipsoid: WGS 84

• Central Scale Factor (k_0): 0.9996

• False Easting: 500,000 meters (applied at the zone central meridian)

• False Northing: 0 meters (Northern Hemisphere) or 10,000,000 meters (Southern Hemisphere)

• Latitude Bands: 8^ bands lettered C through X (I and O omitted to prevent confusion with numbers 1 and 0)

Equations

• Zone Number = Longitude + 180^6^ + 1

• λ_0 = (Zone Number × 6^) - 183^

How to Use This Calculator

Enter your Latitude in Decimal Degrees (°N positive / °S negative) (e.g. 40.7128) and Longitude in Decimal Degrees (°E positive / °W negative) (e.g. -74.0060). Results update instantly as you type — adjust any value to compare scenarios.

The Formula

Formula Reference: Lat Long to Utm

Input variables:

latitudeValue — Latitude in Decimal Degrees (°N positive / °S negative)

longitudeValue — Longitude in Decimal Degrees (°E positive / °W negative)

Computed outputs:

utmZone — UTM Zone & Band

eastingMeters — Easting (E) Meters

northingMeters — Northing (N) Meters

hemisphere — Hemisphere

gridConvergenceDeg — Grid Convergence Angle

Mathematical relationships extracted from calculation logic:

clLat = Math.max(-80.0, Math.min(84.0, lat))

f = 1.0 / 298.257223563

e2 = 2 f - f f

ePrime2 = e2 / (1.0 - e2)

zoneNum = Math.floor((clLon + 180.0) / 6.0) + 1

lon0 = (zoneNum - 1) * 6.0 - 180.0 + 3.0

latRad = clLat * (Math.PI / 180.0)

lonRad = clLon * (Math.PI / 180.0)

lon0Rad = lon0 * (Math.PI / 180.0)

dLon = lonRad - lon0Rad

Reference constants:

a = 6378137.0

k0 = 0.9996

Standard: NIST Handbook 44 and BIPM SI unit definitions

Worked Example

A GPS coordinate at (40.7128°N, 74.0060°W) plots in UTM Zone 18T at Easting 583,960 meters and Northing 4,507,350 meters for municipal engineering maps.

Understanding Your Result

Unit conversion precision: round to the same number of significant figures as your original measurement. Converting 6 feet to meters gives 1.8288 m — but if your measurement was approximate (±1 inch), expressing more than 2 decimal places is false precision. For international trade and technical specifications, SI units (meters, kilograms, liters) are the standard. US customary units (feet, pounds, gallons) differ from Imperial UK units: 1 US gallon = 3.785 L vs. 1 UK gallon = 4.546 L.