No. It can be neither.
HCF is Highest Common Factor; a factor of a number is a number which divides into it with no remainder. Thus all factors are less than or equal to the number. 72 is greater than 6, therefore it cannot be a factor of 6, nor the Highest Common Factor of 6 and another number.
LCM is Lowest Common Multiple; a multiple of a number is that number times some other number. Thus all multiples are greater than or equal to the number. 72 is less than 252, therefore it cannot be a multiple of 252, nor can it be the Lowest Common Multiple of 252 and another number.
However, 6 is a factor of 72, thus 6 could be the HCF of 72 and another number, eg hcf(30, 72) = 6.
But 252 is not a multiple of 72, so 252 could not be a LCM of 72 and some other number.
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The HCF is: 2The LCM is: 2,520
To calculate the LCM, you first have to split the numbers up into their prime factors: 64 = 2x2x2x2x2x2 72 = 2x2x2x3x3 The next step is to calculate the HCF. In this case it will be 2x2x2 = 8. Finally, you multiply the two numbers and divide by the HCF: 64x72/8 = 576 And therefore the LCM of 64 and 72 is 576.
In these types of problems, the numbers can also be the answer. 6 and 72 have a GCF of 6 and an LCM of 72. Since the product of the GCF and LCM of two numbers is the same as the product of the numbers, you could also use another factor pair of 432, like 18 and 24.
The LCM of 24 and 72 is 72.
The LCM of 12 and 72 is 72