Lady Gaga and Cher in sweet-tweet fest

Usually, it's the nasty exchanges between celebs that get attention on Twitter, so it's nice to see two pop icons, Lady Gaga and Cher, in a love fest instead.

The two singers have just recorded a duet, The Greatest Thing, which surfaced online on Tuesday, much to their chagrin.

Cher, a Gaga-like figure before Gaga was born, tweeted that it wasn't the right version and that she was ticked off that someone leaked it. But she tweeted "Great lyrics" to Gaga.

And she added, "GaGa's SINGLE IS GREAT, & THAT'S ALL THAT MATTERS," referring to Gaga's new Applause, which also came out Tuesday.

Gaga was thrilled. "AHHHjjhh my KWEEN!" she tweeted.

Then: "I love you @cher ! Thank you for the support, you're the greatest thing!"

And: "THANK YOU FOR HOLDING MY MEATPURSE," referring to the time Cher held Gaga's "bag" on stage at the 2010 MTV Video Music Awards.

Even Katie Couric was impressed by their exchange: "Love when women support other women! Go @ladygaga and @cher!!!," she tweeted today.

Meanwhile, today Gaga is tweeting her followers to buy her new single Applause, for which the lyric video is due to be released today around 3 pm ET. She also tweeted a GIF of the single's cover.