The investigators need 1075 patients to answer our scientific question. Patients who give informed consent will be randomly put into one of two groups, the experimental group and the control group. The patients in the control group will be treated with LMWH starting a few hours after surgery and every day until they leave the hospital. This is how most patients are treated after colon cancer surgery (standard care). The patients in the experimental group will be treated with LMWH for a longer period of time, starting on the day they agree to have surgery and continuing for two months after surgery. All the patients will be followed for at least three years after surgery to find out if their cancer has recurred (come back). If LMWH treatment around the time of surgery reduces the chance of recurrence in patients with colorectal cancer, it would improve the health and quality of life for these patients.