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Find by prime factorisation the LCM of the numbers $18180$ and $7575$. Also, find the HCF of the two numbers.
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$18180 = 2^2 \times 3^2 \times 5 \times 101$
$7575 = 3 \times 5^2 \times 101$
LCM = $2^2 \times 3^2 \times 5^2 \times 101 = 90900$
HCF = $3 \times 5 \times 101 = 1515$
$7575 = 3 \times 5^2 \times 101$
LCM = $2^2 \times 3^2 \times 5^2 \times 101 = 90900$
HCF = $3 \times 5 \times 101 = 1515$