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The LCM and HCF of 26 and 91 by applying the prime factorization method is:

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L.C.M = 132 and H.C.F = 32

L.C.M = 122 and H.C.F = 76

L.C.M = 154 and H.C.F = 32

L.C.M = 182 and H.C.F = 13

answer is D.

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Detailed Solution

Given 2 numbers 26 and 91.
Prime factorization of 26 is,
Question Image

Prime factorization of 91 is,
Question Image

Prime factors are,

26 = 2 × 13 = 21 × 131

91 = 7 × 13 = 71 × 131

The LCM is,

= 21 × 71 × 131

= 182
The HCF = 13.
Therefore, L.C.M is 182 and H.C.F is 13.
Hence, option 4 is correct.

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