Unemployment rose in the greater San Fernando Valley in January as payroll job losses across a wide spectrum of industries took their toll across the county.

There were 81,000 jobs lost during the month, pushing up L.A. County’s unemployment rate a tenth of a point from December to 10.4 percent, according to data released Friday by the state Employment Development Department.

Retail suffered a loss of 20,000 jobs, the largest of any sector, largely due to the end of holiday hiring. But also suffering significant losses were the entertainment industry, professional and business services, and leisure and hospitality.

The unemployment rate in Los Angeles rose from 11.3 percent to 12.1 percent.

The job losses also drove up the unemployment rate by less than 1 point in smaller cities within the Business Journal coverage area. The rate hit 15.3 percent in Lancaster, 13.5 percent in Palmdale, 9.5 percent in Glendale, 8.9 percent in Burbank, 6.7 percent in Santa Clarita, 6.0 percent in Westlake Village, 5.0 per cent in Calabasas and 4.8 percent in Agoura.

Statewide, the unemployment rate was unchanged at 9.8 percent. Nationally, the unemployment rate was 7.9 percent in January, up a tenth of a point from December, though down from 8.3 percent in January 2012.

The county’s unemployment rate also was better than a year ago when it stood at 11.6 percent in January 2012.