3 weeks for a leviathan/Laevateinn weapon, you need 1300 soldiery points ( 450 cap / week )
fastes to get a good new weapon are 12 fates for the atma relic with ilvl100 and then 9x1500 myth for the animus relic.

the complete leviathan/Laevateinn is better, but it need lot of time and points that cant be pushed in other gear