The product of two numbers is 35828 and HCF is 26. Find the LCM of two numbers?

Options

A. 931788
B. 689
C. 1378
D. 3583

Answer

To find the LCM (Least Common Multiple) of two numbers when the product of the two numbers and their HCF (Highest Common Factor) is given, we can use the relationship between HCF, LCM, and the product of the two numbers.

The formula we will use is:

\[ \text{Product of two numbers} = \text{HCF} \times \text{LCM} \]

Given:
- Product of the two numbers = 35828
- HCF = 26

We need to find the LCM.

### Step 1: Write down the formula
We start with the formula:
\[ \text{Product of two numbers} = \text{HCF} \times \text{LCM} \]

### Step 2: Substitute the known values
Now, substituting the known values into the formula:
\[ 35828 = 26 \times \text{LCM} \]

### Step 3: Solve for LCM
To find the LCM, we rearrange the equation:
\[ \text{LCM} = \frac{35828}{26} \]

### Step 4: Perform the division
Now, we perform the division:
\[ \text{LCM} = \frac{35828}{26} = 1377 \]

### Conclusion
Thus, the LCM of the two numbers is **1377**.

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