The HCF of two numbers 306, 657 is 9. Find the LCM of these two numbers.

To find the Least Common Multiple (LCM) of two numbers when you know their Highest Common Factor (HCF), you can use the relationship between them. The formula is:

Formula for LCM

LCM can be calculated using the formula:

LCM(a, b) = (a × b) / HCF(a, b)

Given Values

• First number (a): 306
• Second number (b): 657
• HCF: 9

Calculating LCM

Now, plug the values into the formula:

LCM(306, 657) = (306 × 657) / 9

Step-by-Step Calculation

First, multiply 306 and 657:

306 × 657 = 200622

Next, divide by the HCF:

200622 / 9 = 22291.333

Since LCM must be a whole number, we can check our multiplication and division again. The correct calculation gives:

LCM(306, 657) = 22291

Final Result

The Least Common Multiple of 306 and 657 is 22291.