The outgoing PM is later expected to make a statement in Downing Street setting out what he sees as his legacy, before going to Buckingham Palace to offer his resignation to the Queen.
He said: "I do (love Larry) and I have photographic evidence to prove it".
The proceedings were a lot lighter than usual with Cameron joking that after a busy morning, the rest of the day seems remarkably light.
Mr Cameron concluded: "It has been the greatest honour of my life to serve our country as Prime Minister over these last six years and to serve as leader of my party over 11 years".
Mr Cameron drew a few laughs in his candid final speech as prime minister. He of course listed his achievements on the economy, particularly when it came to jobs, but he also notably focused on social change and social service, highlighting the "200,000 young people who have taken part in National Citizen Service" and "the couples who have been able to get married, who weren't allowed to in the past". The comedy character has their limbs hacked off in a swordfight but carries on fighting, insisting "it's just a flesh wound".
"He is reminding me of the black knight in Monty Python's Holy Grail".
Florence, five, was born three months after the Mr Cameron became Prime Minister, so Number 10 has been her first ever home. This meant that it was much harder for him today to point out what his personal, distinctive legacy was from the past six years of being Prime Minister.
But the two party leaders ended on a warm note, as Mr Corbyn paid tribute to Mr Cameron's wife, Samantha, who was watching events in the Commons public gallery with their children.
He said he would miss the "roar of the crowd" in parliament, but assured his colleagues that he would be willing them on from his new position as a regular lawmaker representing his English constituency of Witney, near Oxford. Then the newly elected Conservative Opposition leader, he taunted embattled Labour Prime Minister Tony Blair: "I want to talk about the future".
Mr Cameron also said the European Union should remain in the single market.