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MATH / Suppose a and b are positive integers such that the units digit of a is 2, the units digit of b is 4, and the greatest common divisor of a and b is 6. What is the smallest possible…

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problem

Suppose aa and bb are positive integers such that the units digit of aa is 22, the units digit of bb is 44, and the greatest common divisor of aa and bb is 66. What is the smallest possible value of the least common multiple of aa and bb?
Plain-text mathematical notation (without MathML)
Suppose a and b are positive integers such that the units digit of a is 2, the units digit of b is 4, and the greatest common divisor of a and b is 6.

What is the smallest possible value of the least common multiple of a and b?
Original LaTeX notation
Suppose $a$ and $b$ are positive integers such that the units digit of $a$ is $2$, the units digit of $b$ is $4$, and the greatest common divisor of $a$ and $b$ is $6$.

What is the smallest possible value of the least common multiple of $a$ and $b$?

level

Level 5

type

Number Theory

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Source and history

task_id
06e826be-ea37-57ae-910f-23209c6f66d1
task_key
number~5ftheory--test--06e826be-ea37-57ae-910f-23209c6f66d1
task_revision_id
1
config / split
number_theory / test

Official source

initial import