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GCD & LCMmedium
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What is the smallest positive integer xxx such that x≡2(mod3)x \equiv 2 \pmod 3x≡2(mod3), x≡3(mod5)x \equiv 3 \pmod 5x≡3(mod5), and x≡2(mod7)x \equiv 2 \pmod 7x≡2(mod7)?