Euler's Totient Dilemma

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

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