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LCM is least common multiple, so start by factoring 24.

24's factors are: 1, 2, 3, 4, 6, 8, 12, and 24.

So two of these numbers have to have a HCF (or highest common factor) of 2 to be the answer.

You can rule out 1 and 3 because 2 isn't a factor. Then start listing out the multiples. Remember that 24 has to be the lowest multiple the two numbers have in common.

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24

4, 8, 12, 16, 20, 24

6, 12, 18, 24

8, 16, 24

12, 24

24

6 and 8 OR 8 and 12 OR 12 and 24 are the two here whose least common multiple is 24. But 6 and 8 are the only pair whose HCF is 2.

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Q: What two numbers have an LCM of 24 and an HCF of 2?
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