Well, honey, the numbers could be 1 and 56, or 2 and 28, or even 4 and 14. As long as their least common multiple is 56, you've hit the jackpot. So, grab those numbers and run with them - just don't trip on your way to solving the problem!
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8 and 7
The LCM is 56.
LCM is 56, which is the multiple of the highest power of prime factors in the given numbers (23 x 7).
The HCF is always a factor of the LCM of two numbers. The HCF is a factor of both the numbers which are factors of their LCM. Thus the HCF is also a factor of the LCM of the two numbers.
The LCM is: 56