Kentucky Revised Statutes Title XXIII. Private Corporations and Associations § 275.285.Dissolution of company

(a) A member is admitted to the limited liability company in the manner provided for in a written operating agreement, effective as of the occurrence of the event that terminated the continued membership of the last remaining member; or

(b) Unless otherwise provided in a written operating agreement, within ninety (90) days after the occurrence of the event that terminated the continued membership of the last remaining member, the successor-in-interest of the last remaining member agrees in writing to continue the limited liability company and to the admission of the successor-in-interest of that member or its designee to the limited liability company as a member, effective as of the occurrence of the event that terminated the continued membership of the last remaining member;