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Easy NT on LCMs

Source: Kyiv City MO 2022 Round 2, Problem 7.1

January 30, 2022
number theoryLCM

Problem Statement

a) Do there exist positive integers aa and dd such that [a,a+d]=[a,a+2d][a, a+d] = [a, a+2d]?
b) Do there exist positive integers aa and dd such that [a,a+d]=[a,a+4d][a, a+d] = [a, a+4d]?
Here [a,b][a, b] denotes the least common multiple of integers a,ba, b.
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