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Question
Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = Product of the two numbers.
26 and 91
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Solution
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26 = 2 × 13
91 = 7 × 13
L.C.M of 26 and 91 = 2 × 7 × 13
L.C.M of 26 and 91 = 182
H.C.F of 26 and 91 = 13
We know that,
Now, LCM × HCF = First number × Second number
⇒ 182 × 13 = 26 × 91
⇒ 2366 = 2366
i.e., LCM × HCF = Product of two numbers.
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