Question

using prime factorization find HCF and LCM of 36 and 84​

Answer 1

Steps to find LCM. Find the prime factorization of 36. 36 = 2 × 2 × 3 × 3. Find the prime factorization of 84. 84 = 2 × 2 × 3 × 7. LCM = 2 × 2 × 3 × 3 × 7. LCM = 252.

Answer 2

The HCF is 12 and LCM is 252

Step-by-step explanation:

Numbers are 36 and 84

HCF:

2 | 36     2 | 84

2 | 18      2 |  42

3 | 9        3 |  21

3 | 3        7 |  7

  |  1           | 1

$36 = 2 \times 2 \times 3 \times 3$

$84 = 2 \times 2 \times 3 \times 7$

$HCF = 2 \times 2 \times 3 = 12$

LCM :

2 | 36 ,84

2 | 18 , 42

3 | 9  , 21

3 | 3 , 7

7 | 1 , 7

  | 1, 1

LCM = $2 \times 2 \times 3 \times 3 \times 7 =252$

Hence The HCF is 12 and LCM is 252

#Learn more:

Find the HCF and LCM of 84 36 98 by prime factorization method

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