"But we need to go further - and for many more businesses and organisations to sign up.
"London is one of the most dynamic and prosperous economies in the world, but unfortunately this prosperity isn't shared by all Londoners.
"In the capital today, more than two million people are struggling to make ends meet and the ethnic pay gap is shockingly and unacceptably large."
Heathrow has become the first UK airport to accredit with the Living Wage Foundation, which sets the voluntary rates.
The foundation said the increases of 4.6 per cent in London and 3.6 per cent elsewhere have been largely driven by higher inflation, rising housing rents and transport costs.
The announcement follows new research by KPMG showing that 5.5 million people across the UK, or 21 per cent of the workforce, are still paid less than the voluntary rates.
Heathrow, which is among over 150 employers to agree recently to pay the higher rate, said 3,200 airport workers will be paid the voluntary living wage by 2020.
Living Wage Foundation director Katherine Chapman said: "The new rates will bring relief for thousands of UK workers being squeezed by stagnant wages and rising inflation.
"It's thanks to the leadership of over 3,600 employers across the UK who are committed to paying all their staff, including cleaners and security staff, a real living wage.
"Great businesses know that, even during these tough times, not only is fair pay the right thing to do but paying the real living wage brings big benefits.
"Nine out of 10 accredited living wage employers report real benefits including improved retention, reputation, recruitment and staff motivation."
TUC general secretary Frances O'Grady said: "Extending the living wage is vital. Millions of people are living in poverty despite being part of working households
"These new rates would make a big difference to Britain's lowest-paid, and they would help families keep their heads above water."
She added that more companies still needed to sign up to pay their employees the living wage.
Read also other news of London our city guide.