Baseline

One rep max calculator

Enter a weight and the repetitions you managed with it. All five published equations are shown, because they agree at low repetitions and diverge sharply above ten.

Enter your details

Units
kg

The number completed with good form, at or near failure.

Result

These are estimates from population-level equations, not a measurement of you and not medical advice. Individual results vary widely. Talk to a doctor or a registered dietitian before making significant changes to how you eat or train.

How this is calculated

Epleydefault

              1RM = w × (1 + r / 30)
            
Source
Epley B., "Poundage Chart", Body Enterprises, Lincoln NE, 1985.
Assumes
A linear relationship between repetitions and load, which holds reasonably to ten.
Accuracy
The most widely used, and the default here. Note it is not exact at a single repetition: it returns 103.3 kg for a 100 kg single, which is a property of the equation rather than an error.

Brzycki

              1RM = w × 36 / (37 − r)
            
Source
Brzycki M., Journal of Physical Education, Recreation and Dance 64(1), 1993, pp. 88–90.
Assumes
The same linear model, expressed as a ratio.
Accuracy
Exact at one repetition, and generally the most conservative in the two-to-ten range. Undefined at 37 repetitions, where its denominator reaches zero.

Lombardi

              1RM = w × r^0.10
            
Source
Lombardi VP., "Beginning Weight Training", Wm. C. Brown, Dubuque IA, 1989.
Assumes
A power relationship rather than a linear one.
Accuracy
Reads highest of the five at moderate repetitions. Its power form makes it better behaved at high repetition counts than the linear equations, though all five are unreliable there.

O'Conner

              1RM = w × (1 + r / 40)
            
Source
O'Conner B, Simmons J, O'Shea P., "Weight Training Today", West Publishing, 1989.
Assumes
The same linear model as Epley with a gentler slope.
Accuracy
The most conservative of the five at higher repetitions, since dividing by 40 rather than 30 credits each repetition less.

Wathan

              1RM = 100w / (48.8 + 53.8 × e^(−0.075r))
            
Source
Wathan D., "Load assignment", in Baechle TR (ed), Essentials of Strength Training and Conditioning, Human Kinetics, 1994, pp. 435–446.
Assumes
An exponential decay in the relationship between repetitions and load.
Accuracy
The most sophisticated model of the five, and it tracks measured data well across a wider repetition range than the linear equations. Its exponential form means it never becomes undefined.

Which formula should you use

This page defaults to Epley. The most widely used, and the default here. Note it is not exact at a single repetition: it returns 103.3 kg for a 100 kg single, which is a property of the equation rather than an error.

  • Brzycki — Exact at one repetition, and generally the most conservative in the two-to-ten range. Undefined at 37 repetitions, where its denominator reaches zero.
  • Lombardi — Reads highest of the five at moderate repetitions. Its power form makes it better behaved at high repetition counts than the linear equations, though all five are unreliable there.
  • O'Conner — The most conservative of the five at higher repetitions, since dividing by 40 rather than 30 credits each repetition less.
  • Wathan — The most sophisticated model of the five, and it tracks measured data well across a wider repetition range than the linear equations. Its exponential form means it never becomes undefined.

Estimated one rep max by load and repetitions (Epley)

Read across from the weight you lifted and down from the repetitions you managed. Above ten repetitions the estimate is dominated by endurance rather than maximal strength.

Estimated one rep max by load and repetitions (Epley)
Weight lifted1 reps2 reps3 reps5 reps8 reps10 reps12 reps
60 kg62 kg64 kg66 kg70 kg76 kg80 kg84 kg
80 kg82.7 kg85.3 kg88 kg93.3 kg101.3 kg106.7 kg112 kg
100 kg103.3 kg106.7 kg110 kg116.7 kg126.7 kg133.3 kg140 kg
120 kg124 kg128 kg132 kg140 kg152 kg160 kg168 kg
140 kg144.7 kg149.3 kg154 kg163.3 kg177.3 kg186.7 kg196 kg

Questions

How accurate are one rep max estimates?
Within a few per cent in the two-to-five repetition range, and progressively worse above that. The honest way to read this page is to look at the spread between the five formulas: when they agree closely, the estimate is reliable; when they diverge, it is not.
Which formula is best?
Wathan and Epley track measured data well across the widest range. Brzycki is the most conservative and exact at a single repetition. For programming purposes, the average of all five is a more defensible single number than any one of them.
Why do the formulas disagree more at higher repetitions?
Because above roughly ten repetitions the limiting factor stops being maximal strength and becomes muscular endurance, which varies enormously between people and between exercises. The equations were fitted in the low-repetition range and are extrapolating beyond it.
Does the exercise matter?
Yes, considerably. These equations were derived largely from bench press and squat data. Exercises with a smaller range of motion or more technical demand — deadlifts, Olympic lifts — typically produce fewer repetitions at the same percentage, so estimates read high.
Should I test my actual one rep max?
Only if you need the number for competition, and only with a spotter and a proper warm-up. For programming purposes an estimate from a set of three to five is nearly as useful and carries far less risk.
Why is Epley not exact at one repetition?
Because its formula adds r/30 to a multiplier of 1, so at r = 1 it adds 3.3% rather than nothing. Brzycki, Lombardi and Wathan all return the load itself at a single repetition. It is a known quirk, not a bug in this calculator.