The Highest Common Factor (HCF) of 306 and 657 is 9. The relationship between LCM, HCF, and the product of two numbers is given by: LCM × HCF = Product of two numbers. Therefore, LCM × HCF = 306 × 657. Substituting the HCF value, we get LCM = \(\dfrac{306×657}{9}\). Calculating this, the LCM is 22338.