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18 Oct 2018, 02:31
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B
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Question Stats:
72% (01:03) correct
28%
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If 72^4 is the greatest common divisor of positive integers A and B, and 72^6 is the least common multiple of A and B, then AB =
A. 72^6
B. 72^10
C. 72^12
D. 72^24
E. 72^4096
A. 72^6
B. 72^10
C. 72^12
D. 72^24
E. 72^4096
18 Oct 2018, 02:38
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Product of any two numbers is always equal to product of their LCM and HCF
So, A*B= 72^4 * 72^6= 72^10
Answer is B
Posted from my mobile device
So, A*B= 72^4 * 72^6= 72^10
Answer is B
Posted from my mobile device
General Discussion
18 Oct 2018, 02:39
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Bunuel
If 72^4 is the greatest common divisor of positive integers A and B, and 72^6 is the least common multiple of A and B, then AB =
A. 72^6
B. 72^10
C. 72^12
D. 72^24
E. 72^4096
A. 72^6
B. 72^10
C. 72^12
D. 72^24
E. 72^4096
we know that:
if HCF of A & B is H and
if LCM of A & B is L
then H*L= A*B -----> Product of HCF and LCM of two numbers is equal to product of two numbers
Then therefore, from the question, A*B= \(72^4\) * \(72^6\) = \(72^{10}\), Hence correct option is B
