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12
Math Prize 2023 Problem 12
Math Prize 2023 Problem 12
Source:
October 11, 2023
Problem Statement
Let
S
S
S
be the set of fractions of the form
lcm
(
A
,
B
)
A
+
B
\frac{{\text {lcm}}(A, B)}{A+B}
A
+
B
lcm
(
A
,
B
)
, where
A
A
A
and
B
B
B
are positive integers and
lcm
(
A
,
B
)
{\text{lcm}}(A, B)
lcm
(
A
,
B
)
is the least common multiple of
A
A
A
and
B
B
B
. What is the smallest number exceeding 3 in
S
S
S
?
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