There are buses or tours that you can book. Google shuttles to Citadel, or transport to Citadel outlets.
Do you plan to use public transit?
Take Metro Red Line to Downtown LA maybe 7th street station and catch Metro bus 62 at corner of Grand Ave/6th street.
There is a free Citadel shuttle from Downtown. You can probably just catch it from 5th/Grand next to the Library or 2nd street/Grand Ave in front of the Broad Museum.
Here is info on the shuttle, I would probably take that since you will probably be hauling bags on your return.
Are you visiting anyplace besides LA, because Citadel is not one of the nicer outlet malls as far as stores go.
Consider shopping in the local 'mini outlets' in the Beverly Grove area (to the southwest of Hollywood). Look for the Beverly Connection Mall (at the corner of 3rd St & S La Cienega Bl, across from the more expensive Beverly Center Mall). This outlet is a lot easier and quicker to reach than the Citadel and you'll see all kinds of clothing -- inexpensive as well as expensive whereas the Citadel has mostly inexpensive 'everyday' apparel.
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