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

Answer

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

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