The smallest possible value of [tex]b[/tex] for a least common multiple of 7200 is 2.
Procedure - Least common multiple
Factor decomposition
The least common multiple is a whole number that is the least multiple of at least two whole numbers, to determine the smallest possible value of [tex]b[/tex] we need to make a factor decomposition, which is shown below:
[tex]7200 = 2^{5}\times 3^2\times 5^2[/tex]
Final analysis - Smallest possible value
The smallest possible value of [tex]b[/tex] shall be the smallest possible prime numbers contained in the product. Thus, we conclude that the smallest possible value of [tex]b[/tex] is 2.
Result
The smallest possible value of [tex]b[/tex] for a least common multiple of 7200 is 2.
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