What's the source for that? Not challenging you but I'd be interested to see a party breakdown.
Jeremy Corbyn is already taking flak for this outcome: http://www.newsandstar.co.uk/news/24northnational/Labour-inq... https://next.ft.com/content/a035f3d2-39c4-11e6-a780-b48ed7b6... http://www.huffingtonpost.co.uk/entry/jeremy-corbyn-blamed-f...
As much as London is Labour supporting it's only a very small part of their supporter base, their traditional heartlands are Wales and the North of the UK, both of which overwhelmingly voted to leave.
It's a conflict that cuts through both parties and perhaps it is better described in terms of cities versus rural.