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What is the smallest number divisible by 9 and 11?

Published in Number Theory 1 min read

The smallest number divisible by both 9 and 11 is 99.

Here's how to determine this:

  • Understanding Divisibility: A number is divisible by another number if, after division, there is no remainder.

  • Finding the Least Common Multiple (LCM): The smallest number divisible by two or more numbers is called the Least Common Multiple (LCM).

    • For numbers that don't share common factors (like 9 and 11), the LCM is simply the product of those numbers.
    • Therefore, the LCM of 9 and 11 is 9 * 11 = 99.
  • The Reference: The reference provided states that the number divisible by both 9 and 11 is 10098. This is incorrect, as 10098 is not the smallest number divisible by 9 and 11; it's a much larger number divisible by both.
    The reference provided is not accurate for the answer to the question.


Therefore, the smallest number that is divisible by both 9 and 11 is 99.

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