MathDB
LCM difference

Source: St Petersburg Olympiad 2009, Grade 9, P3

August 30, 2017
number theoryleast common multiple

Problem Statement

[x,y]−[x,z]=y−z[x,y]-[x,z]=y-z and x≠y≠z≠xx \neq y \neq z \neq x Prove, that x∣y,x∣zx|y,x|z
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