Question

Find the LCM and HCF of the following integer by the prime factorization method 162 and 342 ​

Answer 1

Express 18 and 45 as product of primes.

18=2×3×3×=2×3

2

45=3×3×5=3

2

×5

∴ HCF of 18 and 45=3×3=9

LCM of 18 and 45=3×3×2×5=90

Recall : HCF of any 2 positive integers is the product of the smallest power of each common prime factor of the numbers.

LCM of any 2 positive integers is the product of the greatest power of each factor of the numbers.

Answer 2

Answer:

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