Find by prime factorisation the LCM of the numbers 18180 and

Q) Find by prime factorisation the LCM of the numbers 18180 and 7575. Also, find the HCF of the two numbers.

Ans:

By prime factorisation, we get:

18180 = 2² x 3² x 5 x 101

and 7575 = 3 x 5² x 101

$Find by prime factorisation the LCM$ LCM = 2² x 3² x 5² x 101

LCM = 90900

And HCF = 3 x 5 x 101

HCF = 1515

Therefore, LCM of given numbers is 90900 and HCF is 1515

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