HCF of two numbers is 23 and product of other factors of their LCM is 15.Find the minimum difference between the two numbers .
Question
HCF of two numbers is 23 and product of other factors of their LCM is 15. Find the minimum difference between the two numbers.
Solution
Sure, here is the step by step solution:
Step 1: The HCF of the two numbers is given as 23. This means that 23 is a factor of both numbers.
Step 2: The product of the other factors of their LCM is given as 15. This means that the other factors of the LCM (apart from 23) are 3 and 5.
Step 3: Since LCM is the product of the highest powers of all the factors involved, the two numbers could be 233 and 235.
Step 4: Therefore, the two numbers are 69 and 115.
Step 5: The difference between the two numbers is 115 - 69 = 46.
So, the minimum difference between the two numbers is 46.
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