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Question
Using prime factorisation, find the HCF and LCM of 36, 84. In case verify that HCF × LCM = product of given numbers.
Numerical
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Solution
Prime factorisation:
36 = 22 × 32
84 = 22 × 3 × 7
HCF = product of smallest power of each common prime factor in the numbers
= 22 × 3
= 12
LCM = product of greatest power of each prime factor involved in the numbers
= 22 × 32 × 7
= 252
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