Question

Find the lcm and hcf of the following integers by the prime factorization method
72 and 108

Answer 1

Answer:

L.C.M and H.C.F of 72 and 108 are 216 and 36 respectively.

Answer 2

Answer: HCF = 36, LCM = 216

Step-by-step explanation:

I'll show finding the l.c.m and hcf by factorizing method.

72 = 2 x 2 x 2 x 3 x 3 = $2^{3}$ x $3^{2}$

108 = 2 x 2 x 3 x 3 x 3 = $2^{2}$ x $3^{3}$

To find H.C.F you have to see how many 2s and 3s are in common.

There are 2 twos and 2 threes in common.

So, HCF = 2 x 2 x 3 x 3

             =36

To find LCM you have to note down the bases with highest power from the prime factors of both numbers.

$2^{3}$ x $3^{3}$ = 8 x 27 = 216

So, LCM = 216

Hope it was understandable

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