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

\therefore 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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