All numbers have common multiples.
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The multiples of 2 and 24 include any multiple of 24. The multiples of 22 and 4 include any multiple of 44.
There is an infinite number of common multiples for 84 and 105. A common multiple of any two or more numbers is any number into which each of two or more numbers can be divided evenly (zero remainder).
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If 3 is not a common factor of a pair of numbers, then other numbers that cannot be common factors are any multiples of 3, such as 6, 9, 12, and so on. This is because if a number is a multiple of 3, it will also be divisible by 3, making it a common factor. Additionally, any prime numbers that are not factors of 3, such as 2, 5, 7, 11, and so on, cannot be common factors either.
The common multiples of any two (or more) numbers are multiples of their lowest common multiple (lcm). lcm(9, 11) = 99 → first five common multiples are: 99, 198, 297, 396, 495