Locals will also remember the two other Sears locations in Christiana and Newark that closed in recent years.
In total, Sears Holdings plans to close 64 Kmart and 39 Sears locations by May.
The Tucumcari location was listed as an unprofitable location and is scheduled to close in early April.
After this round of closures, Sears will have fewer than 940 stores.
China's factory sector shows resilience — China Focus
That said, the level of business confidence remained below the trend observed for the survey history. This was consistent with the strongest improvement in the health of the sector since December 2012.
Liquidation sales at closing Macy's stores will begin as soon as January 8, while Sears will start liquidating stores as soon as January 12. Liquidation sales in affected stores will begin this month. Sears didn't say how many workers would lose their jobs.
Sears, once one of the country's most successful retailers, has struggled with the rise of e-commerce and some management missteps.
In 2006 the company operated more than 3,000 stores in the US and a few hundred in Canada.
The company has released a new list of 103 Sears and Kmart stores it will be closing by this spring, 10 Kmart stores closing are in Pennsylvania and three Sears.