If the HCF of two numbers is one of the two numbers then the other number is their LCM.

Answer

To determine if the statement "If the HCF of two numbers is one of the two numbers then the other number is their LCM" is correct, we can analyze it step by step using an example and the relationship between HCF and LCM.

### Step-by-Step Solution:

1. **Identify Two Numbers**: Let's take two numbers, for example, 5 and 15.

2. **Find the HCF (Highest Common Factor)**:
- The factors of 5 are: 1, 5
- The factors of 15 are: 1, 3, 5, 15
- The common factors are: 1, 5
- Therefore, the HCF of 5 and 15 is **5**.

3. **Find the LCM (Lowest Common Multiple)**:
- The multiples of 5 are: 5, 10, 15, 20, ...
- The multiples of 15 are: 15, 30, 45, ...
- The smallest common multiple is **15**.
- Therefore, the LCM of 5 and 15 is **15**.

4. **Check the Statement**:
- According to the statement, if the HCF (which is 5) is one of the two numbers, then the other number (which is 15) should be their LCM.
- We found that the LCM is indeed **15**.

5. **Conclusion**:
- Since the HCF of the two numbers (5) is one of the numbers, and the other number (15) is their LCM, the statement is **correct**.