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Let ϕ(n)\phi(n)ϕ(n) denote Euler's Totient Function. If the greatest common divisor of the positive integers mmm and nnn is 7, and ϕ(mn)=5544,\phi(mn) = 5544,ϕ(mn)=5544, find the least possible value of ∣ϕ(m)−ϕ(n)∣\left|\phi(m)-\phi(n)\right|∣ϕ(m)−ϕ(n)∣.
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