Sharif, 67, will spend Eid with his wife and other members of his family in London. He boarded the Emirates flight EK-625 this morning thathas a transitory stay of a few hours in Dubai.
His younger brother Punjab Chief Minister Shahbaz Sharif saw him off at the Lahore airport.
Before leaving for London, Sharifasked the people to pray for the health of his wife who is suffering from throat cancer
"However, he may extend his stay for more days depending on Begum Kulsoom's health," he said.
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Sharif's exit from Pakistan came amid rumours that he may not return to the country as he is facing corruption and money laundering cases. The country's National Accountability Bureau (NAB) is going to file four cases against Sharif and his children.
Rashid, however, dismissed the rumours, saying Sharif loves his country.
"Why would Sharif choose to stay away from the country where he is loved the most by the people? The circumstances today are not the way they were in 2007, when dictator Musharraf was ruling here. Even at that time, Sharif had returned to the country from exile (in Saudi Arabia) but he was sent back by the dictator," said Rashid.
Sharif's sons - Hussain and Hasan - and daughter Asma are already with Kulsoom in London. However, Nawaz's daughter Maryam who is active in politics and is tipped as his successor and future prime minister candidate is not going to London as she has to run her mother's campaign in Lahore.
The seat fell vacant after Supreme Court disqualified Nawaz Sharif in Panama Papers case on July 28.
Opposition party of cricketer-turned-politician Imran Khan's Pakistan Tehreek-i-Insaf said Sharif may not return to Pakistan to escape the NAB cases.
The apex court should not have allowed Sharif from leaving the country without completion of NAB probe, Chaudhry said, adding it appears the former premier is being given "special treatment".
NAB has announced filing four references against the Sharif family and Finance Minister Ishaq Dar soon after Eidul Azha (next week).