1. **Problem:** Find the ratio of LCM and HCF of the least composite and the least prime numbers. 2. **Identify the numbers:** - Least composite number is 4 (since 1 is neither prime nor composite, 2 and 3 are prime, 4 is the first composite). - Least prime number is 2. 3. **Recall definitions:** - HCF (Highest Common Factor) is the greatest number that divides both numbers. - LCM (Least Common Multiple) is the smallest number divisible by both numbers. 4. **Calculate HCF:** - Factors of 4: 1, 2, 4 - Factors of 2: 1, 2 - Common factors: 1, 2 - HCF = 2 5. **Calculate LCM:** - Multiples of 4: 4, 8, 12, 16, ... - Multiples of 2: 2, 4, 6, 8, ... - Common multiples: 4, 8, ... - LCM = 4 6. **Find ratio of LCM to HCF:** $$\text{Ratio} = \frac{\text{LCM}}{\text{HCF}} = \frac{4}{2} = 2:1$$ **Final answer:** (b) 2:1