Kidney Stone Passage Calculator

Quick answer

The kidney stone calculator estimates the chance that a ureteral stone will pass on its own from its size and location, and the typical time to passage, based on pooled study data.

mm
Chance of passing spontaneously
65 %
Typical time to pass
About 3 weeks

Most small kidney stones pass on their own within a few weeks, especially with pain relief and medical expulsive therapy (tamsulosin) for distal stones of 5–10 mm. Larger stones and those high in the ureter are more likely to need a procedure.

How to use the Kidney Stone Passage Calculator

  1. Stone size (largest diameter)
  2. Location

Results update as you type, and every field accepts the units shown in its menu.

How it works

Enter the stone’s largest diameter and where it is. Seek urgent care for fever, uncontrolled pain or a single kidney.

Inputs explained

Field What to enter
Stone size (largest diameter) In mm
Location Choose one: Proximal ureter, Mid ureter, Distal ureter / UVJ

Example values

How the main result changes when Stone size changes and everything else stays at the example values above:

Stone size (largest diameter) (mm) Chance of passing spontaneously (%)
2.5 87
3.75 81
5 65
6.25 63
7.5 55
10 30

Health note: this calculator is for education and screening only and is not a diagnosis or treatment advice. Discuss your results with a qualified clinician.

Formula

Approximate spontaneous passage by size: ≤ 4 mm about 80%, 5–7 mm about 60%, 7–9 mm about 48%, > 9 mm about 25% Distal ureteral stones pass more often than proximal ones

Worked example

Inputs — Stone size (largest diameter): 5 mm; Location: Distal ureter / UVJ.
Results — Chance of passing spontaneously = 65 %; Typical time to pass = About 3 weeks.

Key terms

UVJ
Ureterovesical junction, where the ureter enters the bladder.
MET
Medical expulsive therapy.

Frequently asked questions

What size kidney stone can pass naturally?

Most stones under 5 mm pass; about half of 5–10 mm stones do.

How long should I wait?

Usually up to 4–6 weeks if pain is controlled and there is no infection.

What helps a stone pass?

Pain relief, staying hydrated and, for distal stones, tamsulosin if your doctor recommends it.

Sources

  1. Coll DM et al. Relationship of spontaneous passage of ureteral calculi to stone size and location. AJR, 2002
  2. EAU Guidelines on urolithiasis

Cite this calculator

Speedy Calculator. (2026). Kidney Stone Passage Calculator. Speedy Calculator. https://speedycalculator.com/calculators/health/kidney-stone/