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.
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If the HCF (Highest Common Factor) of two numbers is 1, then the two numbers are relatively prime and their LCM is the product of the two numbers.
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 .
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.
5 and 10 lcm- 10 and hcf= 5
Two or more numbers are needed to solve for HCF or LCM.