Hello dear. I'd say that you first control the active acne and then only get LHR done. Rest everything is explained nicely by the first doctor here

Hello madam... Laser hair reduction is an absolutely safe procedure and can be done on acne prone skin ... the results and outcome depends on the trained hands of the dermatologist who treats you, the quality of laser equipment and proper guidance..the pricing depends on the areas to be treated and varies from centre to enter and city to city