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Purple Comet Problems
2017 Purple Comet Problems
4
Purple Comet 2017 HS problem 4
Purple Comet 2017 HS problem 4
Source:
March 19, 2020
LCM
number theory
Problem Statement
Find the least positive integer
m
m
m
such that
l
c
m
(
15
,
m
)
=
l
c
m
(
42
,
m
)
lcm(15,m) = lcm(42,m)
l
c
m
(
15
,
m
)
=
l
c
m
(
42
,
m
)
. Here
l
c
m
(
a
,
b
)
lcm(a, b)
l
c
m
(
a
,
b
)
is the least common multiple of
a
a
a
and
b
b
b
.
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