Official campaigning begins Tuesday for the October 22 election in the world's third largest economy
The otherwise classified conversation was captured on camera from a close range
The odd political couple had lunch at the White House before heading to Trump's Mar-a-Lago estate in Florida
The move follows Barack Obama's historic May trip to Hiroshima
Trump raised eyebrows in Japan by calling on the country to pay more to support the cost of stationing US forces
PM Shinzo Abe earlier said increasing the number of women in senior jobs was key to his 'Abenomics' growth blitz