Given integers aaa, bbb, ccc where gcd(a,b)=1\gcd(a, b) = 1gcd(a,b)=1, which statement is ALWAYS true?
gcd(ac,bc)=c\gcd(ac, bc) = cgcd(ac,bc)=c
gcd(a,bc)=1\gcd(a, bc) = 1gcd(a,bc)=1
gcd(ab,c)=gcd(a,c)⋅gcd(b,c)\gcd(ab, c) = \gcd(a, c) \cdot \gcd(b, c)gcd(ab,c)=gcd(a,c)⋅gcd(b,c)
lcm(a,b)=ab\text{lcm}(a, b) = ablcm(a,b)=ab