The least common multiple of the numbers
... 2, 3, 2², 5, 2·3, 7, 2³, 3² . . . . . . prime factorization of numbers 2–9
will be 2³·3²·5·7 = 2520
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Note that the factors of the LCM are the highest powers of the prime factors of the individual numbers. The highest power of 2 is 3; the highest power of 3 is 2, so 2³ and 3² are included as factors of the LCM.
The smallest number divisible by the integers 2–9 is 2520.
