Based on the information available, there is no direct correlation between liver function and Lipitor's effectiveness in lowering LDL cholesterol levels. Lipitor, also known as atorvastatin, is a statin medication that works by inhibiting the HMG-CoA reductase enzyme, which plays a crucial role in cholesterol production in the liver [1].

Liver function generally does not directly affect Lipitor's LDL-lowering ability. However, liver enzymes may be used to monitor Lipitor's side effects on the liver. Elevated liver enzymes could indicate potential liver damage or inflammation, which might require adjusting or discontinuing the medication [2].

It is important to note that factors such as the patient's age, weight, diet, exercise, and genetic predisposition can impact Lipitor's effectiveness in lowering LDL cholesterol levels [3]. Regular monitoring of liver enzymes and cholesterol levels is recommended for patients taking Lipitor.

In summary, liver function itself is not a Lipitor LDL-lowering factor, but it can influence the medication's usage due to potential side effects on the liver.

Sources:
[1] "Atorvastatin (Lipitor)." Mayo Clinic, Mayo Foundation for Medical Education and Research, 12 Jan. 2022, <https://www.mayoclinic.org/drugs-supplements/atorvastatin-oral-route/description/drg-20063039>.
[2] "Atorvastatin (Oral Route)." Side Effects, Mayo Foundation for Medical Education and Research, 1 Jan. 2021, <https://www.mayoclinic.org/drugs-supplements/atorvastatin-oral-route/side-effects/drg-20063039>.
[3] "Lipitor." DrugPatentWatch, <https://drugpatentwatch.com/drugs/lipitor>.