The UK is about the size of Michigan.
So how many AMs does it take to cover all of Michigan? 50 kw WJR does not cover even 20% of the state's area; with double the power it would only increase by about another 5% of the state. You would need about 6 different 50 kw stations to moderately cover most of the state, with a few 5 to 10 kw stations in to give enough signal to cover adequately the noisy central zones of cities not big enough for their own local higher power transmitter.
Also take into consideration that the high frequencies, like 1215, don't cover well with any power level. Further, there are areas of the UK that have very bad ground conductivity. So even higher power transmitters don't cover well. As an example, 50 kw on 750 WSB in Atlanta, Ga, barely covers the Atlanta metro area and it would take 12 to 15 other stations to cover the whole state.
1,000,000 watt Radio Luxembourg in the 50's and 60's covered moderately well SE England from across the channel with a highly directional antenna radiating over 4 million watts towards the UK. It did not cover northern England or Ireland, the western zones like Liverpool, and Wales well at all.
When I was building my own stations in Ecuador, I figured that it would take 12 to 13 10 kw stations to cover just the coastal and Andean zones with no coverage at all of the eastern half of the nation. Ecuador is the size of Nevada.