Susan Shelley lost to Democrat Matt Dababneh by 329 votes out of 29,639 cast, according to the statement of vote.
Shelley, though, said there is an "apparent discrepancy" of 206 more ballots counted in Los Angeles County than were available to count. Monday was the last day to request a recount.
"At this time, I believe the discrepancy may be an indication of errors in the count. It may be that these questions will be cleared up quickly, but in an abundance of caution, I have asked for a recount," she said in a statement.
The 45th also includes 1,359 voters in Ventura County, 151 of whom voted Nov. 19.
Here is a map of last month's results in the 45th's Los Angeles County precincts (below.)
Dababneh was the top vote-getter in 72 Los Angeles precincts while Shelley carried 65. In precincts where turnout was greater than 10 percent, Shelley received almost 51 percent of vote, the results show.
In precincts where turnout was less than 10 percent, Dababneh received about 55 percent of the vote.
Shelley and her supporters have to cover the cost of the recount. The county will refund the cost if the recount reverses the results of the election.
PHOTO: Matt Dababneh speaks to supporters on election night, November 19, 2013 in Woodland Hills. By Richard Salazar.