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Find the LCM and HCF of 1095 and 1168 by applying the prime factorisation method.
Given :
The given numbers are 1095 and 1168.
To find :
We have to find LCM and HCF of the given numbers by using the prime
factorisation method.
Solution :
Prime factorisation of $1095 = 3\times 5\times 73$
Prime factorisation of $1168 = 2\times 2 \times 2 \times 2 \times73= 2^4 \times 73$
HCF $=$ Product of smaller power of each common prime factor.
HCF $= 73 $.
LCM $=$ Product of highest power of each prime factor.
LCM $= 2^4\times 3\times 5 \times 73$
$= 16\times 15 \times 73 $
LCM $= 17520$
Therefore, HCF of 1095,1168 is 73 and LCM of 1095,1168 is 17520.
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