Multiple choice

The HCF of two numbers is 9.which of the following can never be their LCM?

  1. 27

  2. 81

  3. 82

  4. 117

  5. 36
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C Correct answer
Explanation

The Least Common Multiple (LCM) of two numbers must always be divisible by their Highest Common Factor (HCF). Since 82 is not divisible by 9, it cannot be the LCM of any two numbers whose HCF is 9.

AI explanation

Since the highest common factor of the two numbers is 9, their least common multiple must also be a multiple of 9. Checking the options, 27, 81, 117 and 36 are all perfectly divisible by 9. The number 82 is not divisible by 9, so it can never be their least common multiple.

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