Motorcycle Chain Length
Calculate chain links from sprocket teeth and center distance.
About this calculator
Getting motorcycle chain length right means finding the number of chain links that wraps around both sprockets with the correct amount of slack once the axle is positioned within its adjustment range. This calculator uses the standard roller-chain center-distance formula, which combines three terms: twice the center distance divided by the chain pitch (the dominant term, since the chain mostly just spans the gap between sprockets), the average of the front and rear tooth counts (accounting for how much chain wraps around each sprocket), and a smaller correction term that accounts for the difference in sprocket sizes. Because chains use a master link that typically requires an even link count to close properly, Recommended (Even) rounds the raw Calculated Links up to the nearest even number when needed.
Chain Length is simply that even link count multiplied by the chain's pitch -- the physical distance one link repeats, which for the common 520 chain size used on many mid-size motorcycles is 15.875mm. Because chain pitch appears in the denominator of the dominant center-distance term, a larger pitch chain needs FEWER links to span the same physical gap, even though each individual link is longer.
Inputs
Results
Calculated Links
100
Recommended (Even)
100
How to Use This Calculator
- Enter Front Sprocket Teeth, Rear Sprocket Teeth, and Center Distance.
- Set Chain Pitch.
- Review Calculated Links and Recommended (Even).
- Use Chain Length (mm) to inform your decision.
How the result changes with Chain Pitch
| Chain Pitch | Calculated Links | Recommended (Even) |
|---|---|---|
| 10 | 141 | 142 |
| 12 | 123 | 124 |
| 20 | 86 | 86 |
What each input means
- Front Sprocket Teeth
- Number of teeth on the front/countershaft sprocket.
- Rear Sprocket Teeth
- Number of teeth on the rear sprocket.
- Center Distance
- Distance between sprocket centers in mm.
- Chain Pitch
- Chain pitch (15.875mm for 520 chain).
How this is calculated
Worked example, using the default values
- Identify Input Parameters4 parametersFront Sprocket Teeth = 15, Rear Sprocket Teeth = 45, Center Distance = 550, Chain Pitch = 15.875 = 4 input(s) provided
- Calculate Calculated Links100 = 100
- Calculate RecommendedRecommended = evenLinks100 = 100
- Calculate Chain LengthChain Length1587.5 = 1587.5
Engine last updated . Checked against 1 independently-derived test — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
Why does a larger Chain Pitch result in fewer Calculated Links?
Chain Pitch appears in the denominator of the formula's dominant term (twice the center distance divided by pitch), so a larger pitch means each link spans more physical distance and fewer of them are needed to cover the same center distance -- even though the overall Chain Length in millimeters still tends to increase with pitch.
Why is Recommended (Even) sometimes different from Calculated Links?
Roller chains are joined with a master link, which on most chains requires the total link count to be even to close properly. When the raw Calculated Links comes out odd, Recommended (Even) rounds up by one link to the nearest even number a master link can actually join.
Does increasing Center Distance always increase the required link count?
It never decreases the required link count -- Center Distance enters the dominant term of the formula directly (twice the distance divided by chain pitch), so moving the rear axle further from the countershaft sprocket, whether for a swingarm extension or different sprocket combination, pushes Calculated Links and Chain Length up or holds them steady. Because the final link count is rounded up to a whole (and then even) number, a small enough increase in Center Distance can land on the same rounded link count rather than bumping it by a full link every time.
Why do Front and Rear Sprocket Teeth both matter, not just their difference?
The formula uses the AVERAGE of front and rear tooth counts to account for how much chain wraps around each sprocket's circumference, plus a separate, smaller correction term based on the SQUARE of their difference for the geometric effect of unequal sprocket sizes -- so both the total tooth count and the size mismatch between sprockets play a role.
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