Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers.

Question

Deepak BoraNewbie

Asked: July 29, 20202020-07-29T17:51:34+05:30 2020-07-29T17:51:34+05:30In: CBSE

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Deepak Bora · Answer 1 · 2020-07-29T17:55:30+05:30

Deepak Bora Newbie

This answer was edited.

26 and 91

Expressing 26 and 91 as product of its prime factors, we get,

26 = 2 × 13 × 1

91 = 7 × 13 × 1

Therefore, LCM (26, 91) = 2 × 7 × 13 × 1 = 182

And HCF (26, 91) = 13

Verification

Now, product of 26 and 91 = 26 × 91 = 2366

And Product of LCM and HCF = 182 × 13 = 2366

Hence, LCM × HCF = product of the 26 and 91