On Air Now
The Capital Late Show With Marvin Humes 10pm - 1am
4 June 2014, 11:36
Both acts were among the big winners at the ceremony.
Little Mix and Taylor Swift were among the big winners at this year's Glamour Awards.
Swift - who was not in attendance - won International Solo Artist, while Little Mix picked up the prize for Best Band.
Other key winners included Paloma Faith for UK Solo Artist, Naomi Campbell for TV Personality, and Nicole Kidman was awarded the Outstanding Contribution prize.
"Thank you so much @GlamourMagUK for a wonderful night and for the award tonight!" Faith tweeted after picking up her award. "I really didn't expect that but am grateful as hell xxx".
Meanwhile, 'Britain's Got Talent' judges Alesha Dixon and Amanda Holden were also in attendance at the London ceremony, as well as singers Ella Henderson, Sam Smith and Foxes.