The HCF of two expressions P and Q is 1. Their LCM is :

Options

A. `(P+Q)`
B. `(P-Q)`
C. PQ
D. `(P)^(Q)`

Answer

To solve the problem, we need to find the LCM (Least Common Multiple) of two expressions P and Q given that their HCF (Highest Common Factor) is 1.

### Step-by-Step Solution:

1. **Understanding HCF and LCM**:
- The HCF of two numbers (or expressions) is the largest expression that divides both of them.
- The LCM is the smallest expression that is a multiple of both.

2. **Given Information**:
- We know that HCF(P, Q) = 1. This means that P and Q are coprime, which implies they have no common factors other than 1.

3. **Using the Relationship Between HCF and LCM**:
- There is a formula that relates HCF and LCM:
\[ HCF(P, Q) \times LCM(P, Q) = P \times Q \]
- Since we know HCF(P, Q) = 1, we can substitute this into the formula.

4. **Substituting the Known Values**:
- Substitute HCF into the formula:
\[ 1 \times LCM(P, Q) = P \times Q \]
- This simplifies to:
\[ LCM(P, Q) = P \times Q \]

5. **Conclusion**:
- Therefore, the LCM of the expressions P and Q is \( P \times Q \).

### Final Answer:
The LCM of the two expressions P and Q is \( P \times Q \).