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

Answer 1

The two numbers that have a least common multiple (LCM) of 24 and a highest common factor (HCF) of 2 are 8 and 12. The LCM of two numbers is the smallest number that is a multiple of both numbers, while the HCF is the largest number that divides both numbers without leaving a remainder. In this case, 8 and 12 have an LCM of 24 because 24 is the smallest number that is a multiple of both 8 and 12, and they have an HCF of 2 because 2 is the largest number that divides both 8 and 12 without leaving a remainder.

Answer 2

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.