Andree Jeglertz's side have played nine games at home and won all of them, with their two league defeats this season coming against Chelsea at Stamford Bridge and Arsenal at the Emirates.
It has been almost 10 years since Manchester City won their first and only WSL title but on the evidence of this season so far, it won't be much longer before they have a second crown.
Prior to the match, former WSL defender Rachel Corsie said it could be the worst time for Leicester to be playing the leaders after their defeat against Arsenal last weekend "because you almost end up being on the wrong end of their reaction to that result".
There was no 'almost' about it as Manchester City tore Leicester to shreds at every opportunity, having 31 shots in the match with 15 of those on target.
Even a 10-minute delay to kick-off because of a floodlight issue only served to catapult City into a rapid start.
Shaw scored her 15th league goal, three more than she managed in the entirety of last season.
It is the fourth time this term that the Jamaica international has set the tone for her side by netting the opening goal in a match.
Hemp was also in imperious form, providing two assists before half-time, and it could have been three in stoppage time when Shaw found the net again before the offside flag was raised.
Afterwards, Jeglertz praised his side's relentless hunger for goals, evident in how they capitalised on Leicester mistakes for both the fourth and sixth goals.
As for the struggling visitors, this was a match to forget.
Rick Passmoor's side hit the woodwork once when the match was goalless through Alisha Lehmann and then again when Shannon O'Brien smashed a bouncing ball off the crossbar with the goal gaping.
It leaves the Foxes still on the worst winless run away from home in the WSL, going 23 games without victory since beating Everton 1-0 in January 2024 (drawn seven, lost 16).
Shipping four goals in the first half here made it 16 conceded in 15 games, more than any other side in the league this season.
Boss Passmoor cut a disconsolate figure: "It's a real tough one. It shows you the gulf between top and bottom. It was one of those times where we had to stay in the game - and we didn't.
"Potentially it is the most disappointing performance this season, but we've got a big month ahead in March."
With relegation rivals Liverpool and West Ham picking up crucial wins in recent weeks, Leicester face a tough challenge if they are to climb up the table.