If gcd(a,b)=4\gcd(a, b) = 4gcd(a,b)=4 and lcm(a,b)=120\text{lcm}(a, b) = 120lcm(a,b)=120, how many ordered pairs (a,b)(a, b)(a,b) with a≤ba \leq ba≤b satisfy these conditions?
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