If the HCF of 24 and 36 is 12, what is the LCM of these two numbers? (2023)

If the HCF of 24 and 36 is 12, what is the LCM of these two numbers? (2023)

Step 1: Identify the two numbers we are working with, which are 24 and 36.
Step 2: Note the given Highest Common Factor (HCF) of these two numbers, which is 12.
Step 3: Recall the relationship between HCF, LCM, and the product of the two numbers: HCF * LCM = Product of the numbers.
Step 4: Calculate the product of the two numbers: 24 * 36.
Step 5: Perform the multiplication: 24 * 36 = 864.
Step 6: Use the relationship to find the LCM: LCM = (Product of the numbers) / HCF.
Step 7: Substitute the values into the equation: LCM = 864 / 12.
Step 8: Perform the division: 864 / 12 = 72.
Step 9: Conclude that the LCM of 24 and 36 is 72.

HCF and LCM Relationship – Understanding the relationship between the Highest Common Factor (HCF) and the Least Common Multiple (LCM) of two numbers, specifically that HCF * LCM = Product of the numbers.