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Using prime factorisation, find the HCF and LCM of 23, 31. In case verify that HCF × LCM = product of given numbers.

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Question

Using prime factorisation, find the HCF and LCM of 23, 31. In case verify that HCF × LCM = product of given numbers.

Sum
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Solution

Prime factorisation:

23 = 23

31 = 31

HCF = product of smallest power of each common prime factor in the numbers = 1

LCM = product of greatest power of each prime factor involved in the numbers = 23 × 31 = 713

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Chapter 1: Real Numbers - EXERCISE 1B [Page 17]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 1 Real Numbers
EXERCISE 1B | Q 4. (ii) | Page 17
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