Lukoil rhymes with:
coil, coile, coyle, recoil, uncoil, boil, boyle, britoil, broil, coil, coile, coyle, croyle, doyle, embroil, foil, foyle, gatoil, guilfoil, hoyle, moyl, moyle, o'boyle, oboyle, oil, oleoyl, recoil, roil, royle, soil, spoil, statoil, toil, uncoil
Lukoil sounds like:
lacewell, lagle, lasala, lasalle, lascala, lascola, lashlee, lashley, lasley, laslo, lassila, lasswell, laswell, laszlo, lazily, lazuli, lazzell, lecli, legal, legally, leschly, lesley, leslie, lessley, lexical, likely, lisle, local, locale, locally, lockley, logical, logically, loisel, loiselle, loosely, lucile, lucille, luckily, lushly, lysol