Question
Using prime factorization, find the HCF and LCM of:
$36, 84$
$36, 84$
✓
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.
$84 = 2 \times 2 \times 3 \times 7 = 2^2 \times 3 \times 7$
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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