Normally, the owner or a managing member of an LLC would not be liable for the company's debts. The potential risks for you:1) Make sure you signed the lease in your capacity as an officer or managing member, not personally--if you signed personally, the landlord may be able to hold you personally liable.2) Obviously, if you signed a personal guaranty to induce the landlord to rent to your business, you can held to it.3) If you co-mingled personnel and LLC assets, then it is possible--rare, and highly unlikely, but possible--that the landlord could "pierce the corporate veil" and hold you personally liable, under the theory that it is not a real LLC.Apart from the above, you should not be liable for your LLC's lease obligations.