Here is a list of towns in the uk that begin with l, you can place your council or housing association exchange in the one where you live.

Ukhomeswap homepage is located here

laindon
lairg
lanark
lancaster
lancing
larbert
latheron
launceston
leamington spa
leatherhead
ledbury
leeds
leicester
leigh
leigh-on-sea
leighton buzzar
leiston
leominster
lerwick
letchworth
lewes
leyburn
leyland
lichfield
lightwater
limavady
lincoln
lingfield
liphook
lisburn
liss
littleborough
littlehampton
liverpool
livingston
llanbedr
llandrindod wells
llandudno
llandysul
llanelli
llangollen
llanidloes
llanrwst
llantwit
llanwrda
loanhead
lochboisdale
lochcarron
lochgilphead
lochwinnoch
lockerbie
london
londonderry
loughborough
loughton
louth
lowestoft
ludlow
lurgan
lutan
lutterworth
lydney
lymington
lyndhurst
lynton
lytham stannes