Q7 of 104 Page 1

Find the LCM and HCF of the following integers by applying the prime factorization method :

1095 and 1168

Given numbers are 1095 and 1168.


The prime factorization of 1095 and 1168 gives:






Here, 731 is the smallest power of the common factor 73.


Therefore, the H.C.F of these two integers = 73


24 × 31× 51 × 731 are the greatest powers of the prime factors 2, 3, 5 and 73 respectively involved in the given numbers.


Now, L.C.M of 1485 and 4356 = 2 × 2 × 2 × 2 × 3 × 5 × 73= 17520


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