Question

solve the black tick​

Answer 1

Answer:

$\underline{\Huge{\texttt{LCM = 182, HCF = 13}}}$

Step-by-step explanation:

LCM (26, 91):

Prime factorization of 26 = 2 × 13 = $2^1 \times 13^1$

Prime factorization of 91 = 7 × 13 = $7^1 \times 13^1$

Using the set of prime numbers from each set with the highest exponent value we take $2^1 \times 7^1 \times 13^1$ = 182

Therefore LCM(26, 91) = 182

HCF (26, 91):

The prime factorization of 26 is 2 × 13 = 26

The prime factorization of 91 is 7 × 13 = 91

The occurrences of common prime factors of 26 and 91 is 13 and 1

So the HCF of 26 and 91 is 13 × 1 = 13

Verification:

LCM × HCF = a × b

⇒ 182 × 13 = 26 × 91

⇒ 2366 = 2366

                                 Hence Verified.