A method for producing lubricant base oils is provided comprising the steps of: (a) separating a feedstock into a light lubricant base oil fraction and a heavy fraction; (b) hydroisomerizing the fractions over a medium pore size molecular sieve catalyst under hydroisomerization conditions to produce an isomerized light lubricant base oil fraction having a pour point less than or equal to a target pour point of the lubricant base oils and an isomerized heavy fraction having a pour point of equal to or greater than the target pour point of the lubricant base oils and a cloud point greater than the target cloud point of the lubricant base oils; and (c) dehazing the isomerized heavy fraction to provide a heavy lubricant base oil having a pour point less than or equal to the target pour point of the lubricant base oils and a cloud point less than or equal to the target cloud point of the lubricant base oils.