There is none. Because for any such number, twice that number would also be a multiple of both and it would be higher.
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The lowest common multiple of 8 and 9 is 72.
The highest common multiple is an infinite number and not very practical for everyday use.
If you mean the 'least' or 'smallest' common multiple of 9 and 8, then 288 is.
The least common multiple of 6 , 9 , 8 = 72
The least common multiple of 7 , 8 , 9 = 504