Question

Find the the LCM and HCF of 72 and 108 by the prime factorization method

Answer 1

Step-by-step explanation:

72=2*2*2*3*3

108=2*2*3*3*3

hence, HCF is 36 and LCM is 216

we can also verify it by using

LCM *HCF= product of two numbers

216*36=72*108

7776=7776

verified

Answer 2

Answer:

LCM= 216

HCF= 36

Step-by-step explanation:

2|_72, 108

2|_36, 54

2|_18, 27

3|_9,27

3|_3,9

1,3

LCM= 2*2*2*3*3*3= 216

2|_72, 108

2|_36, 54

3|_18, 27

3|_6, 9

2, 3

HCF= 2*2*3*3=36