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Problems
Contests
National and Regional Contests
Netherlands Contests
Dutch Mathematical Olympiad
1998 Dutch Mathematical Olympiad
3
3
Part of
1998 Dutch Mathematical Olympiad
Problems
(1)
Least common multiple
Source: Dutch Mathematical Olympiad 1998
10/29/2005
Let
m
m
m
and
n
n
n
be positive integers such that
m
ā
n
=
189
m - n = 189
m
ā
n
=
189
and such that the least common multiple of
m
m
m
and
n
n
n
is equal to
133866
133866
133866
. Find
m
m
m
and
n
n
n
.
least common multiple