Question

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Answer 1

Answer:

LCM - 72

HCF - 12

Step-by-step explanation:

For Explanation, Refer to the Attachment.

Answer 2

Answer:

HCF IS 12 and LCM IS 72

Step-by-step explanation:

i) HCF OR GCF

GCF of 12 and 72 by Listing Common Factors

Factors of 12: 1, 2, 3, 4, 6, 12

Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

There are 6 common factors of 12 and 72, that are 1, 2, 3, 4, 6, and 12. Therefore, the greatest common factor of 12 and 72 is 12.

ii) LCM

Find the prime factorization of 12

12 = 2 × 2 × 3

Find the prime factorization of 72

72 = 2 × 2 × 2 × 3 × 3

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 2 × 2 × 3 × 3

LCM = 72

Verification:

yes it is same hcf and lcm is 12 and 72