What is the LoL Gacha Calculator?
This free calculator helps you find the cheapest way to buy RP for League of Legends and TFT gacha systems like the Sanctum. Instead of guessing which RP packages to buy, the calculator analyzes thousands of possible combinations to find the strategy that saves you the most money.
The algorithm accounts for drop probability, pity mechanics, and bonus RP from larger packages to calculate both the optimal strategy (best on average) and the cheapest path to pity (worst-case scenario).
Enter your current RP, pulls until pity, and drop chance below to get your personalized optimal buying strategy.
How to Use This Calculator
Step 1: Enter Your RP
Input how much RP you currently have in your account. This affects which packages you need to buy.
Step 2: Set Pulls Until Pity
Check how many pulls you need to guarantee the item. This is usually shown in-game (commonly 80 pulls for Sanctum).
Step 3: Check Drop Rate
Find the drop chance percentage in the game client. This is typically 0.5% for rare items but varies by event.
Step 4: Get Your Strategy
Click Calculate to see the optimal RP packages to buy. Follow the step-by-step guide to minimize your spending.
Why Trust This Calculator?
Strategies Evaluated Per Calculation
Free, No Signup Required
Currencies Supported
Max Bonus RP We Help You Capture
Our algorithm uses probability theory and optimization techniques to find the mathematically optimal strategy. See our full mathematical analysis
Strategy Comparison
Optimal Strategy
Avg Cost
Most Bonus RP for Pity
Avg Cost
Probability Distribution
This graph shows cumulative probability of getting the item vs money spent for each strategy
Strategy Comparison
| Strategy | Steps | Avg Cost | Avg. RP Spend | Cost at Pity | RP Bought at Pity | Avg. RP Wasted | RP Leftover at Pity | Difference from Best |
|---|
Optimal Strategy minimizes avg cost (best on average). Most Bonus RP minimizes cost at pity (cheapest path to pity).
Frequently Asked Questions
Everything you need to know about using our LoL Gacha Calculator
What is pity in League of Legends gacha?
Pity is a guaranteed drop mechanic in LoL's Sanctum gacha system. After a certain number of pulls without getting the featured item, you're guaranteed to receive it. This calculator helps you plan your RP purchases to reach pity efficiently.
Why does the optimal strategy sometimes use smaller packages?
While larger RP packages have better value per dollar, the optimal strategy considers probability. If you might get the item early, buying smaller packages first means you spend less money on average. The calculator weighs the chance of early drops against the bonus RP from larger packages.
What's the difference between Optimal Strategy and Most Bonus RP?
Optimal Strategy minimizes your expected (average) cost by accounting for the probability of getting the item before pity. Most Bonus RP minimizes the worst-case cost assuming you need all pulls to reach pity, maximizing bonus RP from larger packages.
Does this calculator work for TFT gacha?
Yes! This calculator works for any Riot Games gacha system that uses RP, including Teamfight Tactics. Simply enter the cost per pull, drop chance, and pulls until pity for your specific TFT gacha event.
How does the Sanctum gacha system work?
The Sanctum is League of Legends' premium gacha system where players can spend RP to pull for exclusive content like Exalted skins, Mythic chromas, and other rare items. Each pull costs RP (typically 400 RP), and there's a small chance to get the featured item on each pull. If you don't get lucky, the pity system guarantees you'll receive the item after a set number of pulls.
What are Exalted skins in League of Legends?
Exalted skins are ultra-rare, premium skins available through the Sanctum gacha system. They feature unique visual effects, animations, and sound effects that make them some of the most desirable cosmetics in the game. Due to their rarity and the gacha system, planning your RP purchases is essential to obtain them cost-effectively.
Which RP package gives the best value?
The largest RP packages offer the best RP-per-dollar ratio, with up to 21.5% bonus RP compared to the smallest package. However, the "best" package depends on your situation. If you might get lucky early, smaller packages could save you money. Our calculator analyzes this trade-off to find your optimal strategy. Check our mathematical analysis for detailed efficiency breakdowns.
How accurate is this calculator?
Our calculator uses mathematical probability models and evaluates thousands of possible package combinations to find optimal strategies. The calculations are accurate based on the inputs you provide. However, actual results depend on luck - you might get the item on your first pull or need to reach pity. Always verify current RP prices in the game client before purchasing.
What does "wasted RP" mean?
Wasted RP refers to leftover Riot Points after you've obtained the item you wanted. For example, if you buy 6500 RP but only need 5200 RP worth of pulls to hit pity, you have 1300 RP "wasted" (though you can use it for other purchases). Our calculator minimizes this waste by finding package combinations that closely match your needed RP.
Should I use the Optimal Strategy or Most Bonus RP strategy?
It depends on your risk tolerance. Optimal Strategy is best if you're okay with potentially paying more if unlucky, in exchange for lower average cost. Most Bonus RP is best if you want to minimize your maximum possible spend and assume worst-case luck. For most players, the Optimal Strategy saves money over multiple gacha events.
Does this calculator support different regions and currencies?
Yes! We support multiple currencies including EUR, USD, CAD, BRL, AUD, and NZD. Each region has different RP package prices, and our calculator uses the correct pricing for your selected currency to ensure accurate cost calculations.