Assume a and b are both positive integers that a+b=2022 and 5*gcd(a,b)=lcm(a,b) find a and b

a = 337   (prime)

b = 1685 = 5.337

gcd(a,b) = 337,   lcm(a,b) = 1685

5.gcd(a,b) =5.337 = 1685 = lcm(a,b).