Question

find the LCM and HCF of 72 and 108 by prime factorization method​

Answer 1

Answer:

72=2*2*2*3*3

108=2*2*3*3*3

the HCF is the common part between the two numbers which is 2*2*3*3 which is equal to 36

The product of two numbers=The product of LCM and HCF of two numbers

i.e 72*108=LCM(HCF)

HCF=7776*36=21

Step-by-step explanation:

Answer 2

Answer:

H.C.F. = 36

L.C.M. = 216

Step-by-step explanation:

Prime Factorisation:

72 = 2 x 2 x 2 x 3 x 3

108 = 2 x 2 x 3 x 3 x 3

H.C.F. = 2 x 2 x 3 x 3

= 36

L.C.M. = 2 x 2 x 2 x 3 x 3 x 3

= 216

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