Is there a purdah on reporting the EU Referendum? Not according to the Electoral Commission's Media Handbook
News reports, features and editorials in print or online media are not subject to electoral law, and the law does not require them to be impartial.
Political impartiality in broadcast media is covered by the editorial guidelines relevant to that particular broadcaster:
Ofcom says 'Meaning of "due impartiality":'
"Due" is an important qualification to the concept of impartiality. Impartiality itself means not favouring one side over another. "Due" means adequate or appropriate to the subject and nature of the programme. So "due impartiality" does not mean an equal division of time has to be given to every view, or that every argument and every facet of every argument has to be represented. The approach to due impartiality may vary according to the nature of the subject, the type of programme and channel, the likely expectation of the audience as to content, and the extent to which the content and approach is signalled to the audience.
The BBC states -
They will not be obliged to make sure that the views of the two official campaign groups are given equal exposure at all times, but will be required to focus on “finding ‘broad balance’ between the arguments”.
The guidelines read: “There may be circumstances in which other voices, beyond the formal representatives, are relevant to the arguments: these too should be weighed in terms of the broad balance.”
While daily programmes must achieve a balance over the course of a week, rather than in each individual edition, one-off programmes face tighter restrictions.
Basically, over its whole output I am sure LBC balances the two views, even taking into account listeners comments.