“The Late Show with Stephen Colbert” last week racked up its 15th consecutive ratings win over its NBC rival, statistics released Tuesday revealed.

The average Colbert viewership during the week ended May 12 was 3.07 million — compared with 2.68 million for “The Tonight Show Starring Jimmy Fallon.”

The CBS late-night winning streak is the longest in more than seven years — since the week ended Jan. 15, 2010.

Fallon still won the key demographic of viewers ages 18 to 49 — coveted by advertisers — with a 27 percent edge over Colbert, Nielsen data showed.

With only one week left in the TV season, the season-to-date contest couldn’t be any closer.

Fallon’s 3.182 million average nightly viewers is just ahead of the 3.174 million who tune in for the fast-closing Colbert.

The year-to-date averages include live viewing plus seven days of delayed playback. The weekly numbers do not.