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MATH / The greatest common divisor of two integers is (x+3) and their least common multiple is x(x+3), where x is a positive integer. If one of the integers is 40, what is the smallest po…

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problem

The greatest common divisor of two integers is (x+3)(x+3) and their least common multiple is x(x+3)x(x+3), where xx is a positive integer. If one of the integers is 40, what is the smallest possible value of the other one?
Plain-text mathematical notation (without MathML)
The greatest common divisor of two integers is (x+3) and their least common multiple is x(x+3), where x is a positive integer. If one of the integers is 40, what is the smallest possible value of the other one?
Original LaTeX notation
The greatest common divisor of two integers is $(x+3)$ and their least common multiple is $x(x+3)$, where $x$ is a positive integer. If one of the integers is 40, what is the smallest possible value of the other one?

level

Level 5

type

Number Theory

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Source and history

task_id
ae283d05-c3cd-55df-bdbb-1f4248f2b790
task_key
number~5ftheory--test--ae283d05-c3cd-55df-bdbb-1f4248f2b790
task_revision_id
1
config / split
number_theory / test

Official source

initial import