Find the LCM and HCF of 6 and 20 by the prime factorisation metho… - Vidyadip

Question

Find the LCM and HCF of 6 and 20 by the prime factorisation method.

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Answer

We have: $6=2^1 \times 3^1$ and $20=2 \times 2 \times 5=2^2 \times 5^1$
Now $\operatorname{HCF}(6,20)=2^1=2$ = Product of the smallest power of each common prime factor and $\operatorname{LCM}(6,20)=2^2 \times 3^1 \times 5^1=60=$ Product of the greatest power of each prime factor

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