To find the sum of the HCF and LCM of 8 and 12, we can use the formula:
HCF(a,b) x LCM(a,b) = a x b
where a and b are the two numbers we are interested in, and HCF and LCM represent the highest common factor and lowest common multiple, respectively.
For 8 and 12, we can find the HCF by listing the factors of each number and finding the largest one that they have in common, which is 4. To find the LCM, we can list the multiples of each number until we find the smallest one they have in common, which is 24. Therefore:
HCF(8,12) = 4
LCM(8,12) = 24
Using the formula, we can calculate the sum of the HCF and LCM as:
HCF(8,12) x LCM(8,12) = 4 x 24 = 96
Therefore, the sum of the HCF and LCM of 8 and 12 is 96