Using prime factorization, find the HCF and LCM of: 36, 84 - Vidyadip

Question

Using prime factorization, find the $HCF$ and $LCM$ of:
$36, 84$

✓

Answer

$36 = 2 \times 2 \times 3 \times 3 = 2^2 \times 3$
$84 = 2 \times 2 \times 3 \times 7 = 2^2 \times 3 \times 7$
$HCF (36, 84) = 2^2 \times 3 = 12$
$LCM (36, 84) = 2^2 \times 3^2 \times 7 = 252$
$HCF \times LCM = 3024$
$36 \times 84 = 3024$
$\Rightarrow HCF \times LCM =$ product of given numbers
Hence verified.

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