Curcumin and Cholecalciferol in Treating Patients With Previously Untreated Stage 0-II Chronic Lymphocytic Leukemia or Small Lymphocytic Lymphoma

Inclusion Criteria: * Have a diagnosis of CLL based on peripheral blood flow cytometry and/or bone marrow aspiration and biopsy OR diagnosis of SLL based on lymph node or bone marrow biopsy; patients with SLL need to have measurable disease * Performance status (Eastern Cooperative Oncology Group \[ECOG\]) 0-2 * Patients must have not received any prior treatment for CLL or SLL * Patients must be stage 0-II based on Rai staging system; must have no indication for treatment for SLL per NCI-WG criteria * Absolute neutrophil count (ANC) \>= 1,500/mm\^3 * Platelet count \>= 100,000/mm\^3 * Hemoglobin \>= 10 g/dL * Serum creatinine =\< 2.0 g/dL or calculated creatinine clearance (CrCl) \>= 60mL/min (Cockcroft-Gault method) * Aspartate aminotransferase (AST) and alanine aminotransferase (ALT) =\< 2.5 x institutional upper limit of normal (ULN) * Bilirubin \< 2.0 x ULN, unless subject has Gilbert's disease * Calcium \< 10.1 mg/dL (corrected to serum albumin) * Females will be either postmenopausal for at least 1 year or surgically sterile for at least 3 months OR females of child-bearing potential must have a negative pregnancy test at screening and agree to take appropriate precautions to avoid pregnancy (double barrier method of birth control or abstinence) from screening through 3 months after the last dose of treatment * Able to comprehend and willing to sign an Informed Consent Form (ICF) * Subjects must be off any steroids 7 days prior to the initiation of treatment * Subject…