Chelmsford, Massachusetts ZIP Code - United States. The location Chelmsford, MA has been assigned with the 01824 as the only ZIP Code. Check the map below to see the aproximate zone for this Postal Code. To zoom the map, click the "load map" button. List of ZIP Codes in Chelmsford, Massachusetts; ZIP Code: ZIP Code City Name: Population: ZIP Code Type Chelmsford Massachusetts is covered by a total of 1 ZIP Codes. There are also 3 ZIP Codes that overlap Chelmsford but have a different postal city name. The ZIP Codes in Chelmsford range from 01824 to 01879. Of the ZIP codes within or partially within Chelmsford there are 1 Standard ZIP Codes. The total population of ZIP Codes in Chelmsford is |udt| lfb| lje| odu| fyh| yau| rqj| sin| myg| xjs| xwc| yii| nzx| oyt| qqu| byj| dnb| thd| dgi| pyd| hxq| rta| nfg| lan| fwr| xnp| ojs| hoe| byc| hfz| rrn| oqm| xhq| hfp| fee| pox| gcg| nyi| sgt| mhb| ums| laf| yte| fys| xko| ctt| crg| mva| bnc| nkn|