Hey @John Boby,
As @Michael Boyer said, it depends on the market, but the terms of the lease, the applicant, and the quality of the unit play a role as well. Since I don't know your specifics, this will be generalized based on price and terms.
In LA, you can charge up to 2-months rent for an unfurnished unit, or up to 3-months rent for furnished, not including additional deposits such as for pets. Furniture is a huge curve ball, but I assume your unit is unfurnished and will speak to that.
In my experience across the rent spectrum ($4k-$40k/mo), the higher security deposit will filter out candidates, some of whom are very well qualified but just don't want the opportunity cost of someone else holding all that cash.
Does that mean you shouldn't require the full allowable deposit?
Well, we have a serious dearth of rental units in LA, so if you're asking market rent, then you should have a large enough tenant pool to draw from that the filter won't effect you.
That said, consider your market rents in so much as whether the average qualified applicant could afford to be out of pocket an additional month's rent. This typically looks like a bell curve, where people at one (lower)end of the rent spectrum ($1-$2k/bedroom/month) are less likely to have that additional savings to hand over, and people at the opposite (higher)end of the spectrum scoff at the idea that they could cause tens of thousands extra worth of damage. The people in the middle tend to be able to spare the deposit and are still in a price point where the quality of finishes vs extra month deposit make sense. Prospects in the higher-end will likely try to negotiate all terms, including the deposit, so don't be afraid that you'll scare them off by asking for it initially.
Also, consider the length of the lease. If this is a short term (< 3mo) rental, then most tenants will resist the maximum allowable deposit.
Are they paying monthly or in 1 lump sum up front? If the tenant pays monthly installments, then you have a risk of default so it may be wise to hedge with a higher deposit, whereas, if they pay in full in advance, your risk is lower so you may not need it. You may be asking monthly and should expect most applicants will want to pay as such, but you would be surprised by how many people in LA offer to pay in-full up-front, especially as you move higher up the price ladder.
Who's responsible for utilities and other maintenance requirements? If the tenant is responsible for charges but pays you because you keep accounts in your name, then it would be wise to charge the higher deposit so those expenses can be deducted if the tenant defaults. This goes back to risk.
Screen applicants well and consider their quality. How many people will be living there? Does they seem responsible, or at least solvent enough, based on their job, credit, public profile, team (business managers, attorneys, agents), references, etc...? If you had to sue them for damages or try to collect arrears of rent, do they currently have enough income/assets to increase your likelihood of success to a tolerable level?
The size of the deposit could be irrelevant if you make a deduction and the tenants fights it. So, regardless of how much you charge, please do yourself a favor and document the move-in/move-out condition properly. Take photos of every surface, inside and out, including close-ups of every defect and imperfection. Note the condition of every room and system, including everything that's in good/satisfactory condition, and everything that's not operable, defected, damaged, or in any way sub-standard, and have the tenant review/sign it. When performing the move-out inspection, compare the property to the move-in photos and notes. The burden of proof will be on you, so leave no room to question. In my experience, the higher up the rent ladder you go, the more likely you will need this.
If you want to talk specifics, send me a PM and I'll be happy to help.