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Q: What 2 numbers have an LCM of 12 and HCF of 2?

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You cannot. The numbers 2 and 12 have hcf = 2 and LCM = 12 The numbers 4 and 6 also have hcf = 2 and LCM = 12 So if you just knew the hcf and LCM you would not know which of the two was the required pair.

2 and 12

2 and 12

2 and 12

None. But 4 and 6 have a LCM (not LMC) of 12 and HCF of 2.

12 and 2 4 and 6

3 and 12

How about 4 and 6

6 and 4

HCF of 3 means the numbers both have a prime factor of 3. LCM of 12 means that, between the numbers, there are factors of 2, 2 and 3. But these 2s cannot be shared, else the HCF would be greater. Therefore, the numbers will need to be 3 and 2x2x3, or 12.

The LCM is the product of the two numbers divided by their HCF. With 12 and 13, the HCF is 1. Therefore, the LCM will equal the product. With 12 and 14, the HCF is 2. Therefore, the LCM will be half of the product.

4 and 6

6 and 36 12 and 18

No.

HCF of 17 and 68 is 17 ..( Lowest Prime factor ) LCM Of 102 and 476 is 7*2^2*3*17 which is 1428 .. ==> Sum of HCF and LCM are 1428+17= 1445 .

2 and 20 have an HCF of 2 and an LCM of 20. You could also use 4 and 10.

2 and 20

HCF of 20 means the two numbers have common prime factors of 2, 2 and 5. However, LCM of 535 means that both of the numbers are odd. This cannot be the case if they have a prime factor of 2. Thus two numbers cannot have 20 as hcf and 535 as lcm.

The answer is 4 and 10.

3 and 30.

3 and 30

5 and 6

77 and 1

2 and 12 respectively

2 and 30