The LCM and HCF of 1095 and 1168 by applying the prime factorization method is:

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L.C.M = 17274 and H.C.F = 33

L.C.M = 17234 and H.C.F = 23

L.C.M = 13454 and H.C.F = 63

L.C.M = 17520 and H.C.F = 73

answer is D.

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Detailed Solution

Given 2 numbers 1095 and 1168.
Prime factorization of 1095 is,
Question Image

Prime factorization of 1168 is,
Question Image

Prime factors are,

1095 = 3 ​ ​ × ​ ​ 5 ​ ​ × ​ ​ 73  = 31 × 51 × 731

1168 = 2 × 2 × 2 × 2 × 73 = 24 × 731

The L.C.M is,

= 2 × 31 × 51 × 731

= 2 × 2 × 2 × 2 × 3 × 5 × 73

= 17520
HCF = 73
Therefore, L.C.M is 17520 and H.C.F is 73.
Hence, option 4 is correct.

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