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Problem Solving (PS) | Re: The highest common factor and the least common multiple of two positiv

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Theory

    ➡ Product of two numbers = Product of their LCM andHCF

The highest common factor(HCF) and the least common multiple(LCM) of two positive integers are 7 and140

HCF = 7, LCM = 140 = 7 * 2 * 2*5

The numbers are between 20 and 45 and we need to find the sum of both thenumbers.

Now, we can start taking numbers such that the two numbers are a multiple of the HCF, which is 7, and their LCM = 140

1. We can take one number as 7*1, and other as 140 to have HCF = 7 and LCM=140, but the
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