Answer:
9360
Explanation:
You want the least common multiple of 585 and 624.
Common multiple
The prime factors of the two numbers are ...
585 = 3² · 5 · 13
624 = 2⁴ · 3 · 13
The product of unique factors is ...
2⁴ · 3² · 5 · 13 = 9360
The smallest number divisible by both 585 and 624 is 9360.
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Additional comment
The LCM can also be found by dividing the product of the numbers by their greatest common factor. We observe that both numbers have 3·13 = 39 as their largest common factor.
LCM = 585 · 624 / 39 = 9360
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