Several formulas can be used to calculate BMR (Basal Metabolic Rate).
- Mifflin-St. Jeor equations
- Harris-Benedict equation
- Katch-McArdle equation
- Cunningham equation
- Owen equation
1. Mifflin-St. Jeor equation
Our calculator tool above uses the Mifflin-St Jeor equation, which is thought to be the most accurate estimate.
- For men: BMR = (10 x weight in kg) + (6.25 x height in cm) - (5 x age in years) + 5
- For women: BMR = (10 x weight in kg) + (6.25 x height in cm) - (5 x age in years) - 161
Mifflin-St. Jeor Equation Example To Estimate BMR:
Let's say a 40-year-old female weighs 70 kilograms (154 pounds) and is 170 centimeters (5 feet 7 inches) tall.
To calculate her estimated BMR using the Mifflin-St. Jeor equation, we need to use the following formula:
- BMR = (10 x weight in kg) + (6.25 x height in cm) - (5 x age in years) - 161
Substituting the values into the equation to get BMR:
- = (10 x 70) + (6.25 x 170) - (5 x 40) - 161
- = 700 + 1062.5 - 200 - 161
- = 1,401.5 calories per day
Therefore, this individual's estimated BMR using the Mifflin-St. Jeor equation is 1,401.5 calories per day.
2. Harris-Benedict Revised Equation
The original Harris–Benedict equations were published in 1918 and 1919.[1]
- Men BMR = 66.473 + ( 13.7516 × weight in kg ) + ( 5.0033 × height in cm ) – ( 6.755 × age in years )
- Woman BMR = 655.0955 + ( 9.5634 × weight in kg ) + ( 1.8496 × height in cm ) – ( 4.6756 × age in years )
Many experts consider the revised Harris-Benedict equation to be the accurate BMR calculation for most types of people.
The Harris–Benedict equations were revised by Roza and Shizgal in 1984.[2]
- For men: BMR = 88.36 + (13.4 x weight in kg) + (4.8 x height in cm) - (5.7 x age in years)
- For women: BMR = 447.6 + (9.2 x weight in kg) + (3.1 x height in cm) - (4.3 x age in years)
Harris-Benedict Equation Example To Estimate BMR:
Let's say a 40-year-old female weighs 70 kilograms (154 pounds) and is 170 centimeters (5 feet 7 inches) tall.
To calculate her estimated BMR using the Harris-Benedict equation, we need to use the following formula:
- For women: BMR = 447.6 + (9.2 x weight in kg) + (3.1 x height in cm) – (4.3 x age in years)
Substituting the values into the equation to get BMR:
- = 447.6 + (9.2 x 70) + (3.1 x 170) - (4.3 x 40)
- = 447.6 + 644 + 527 - 172 BMR
- = 1,452.17 calories per day
The estimated BMR using the Harris-Benedict equation is 1,452.17 calories per day.
3. Katch-McArdle Equation
The Katch-McArdle equation used the same formula to estimate the BMR (Basal Metabolic Rate) for both males and females.
The equation considers a lean body mass, which is the body's weight minus the weight of fat. The Katch-McArdle equation is:
- BMR = 370 + (21.6 x lean body mass in kg)
The Katch-McArdle equation is considered to be more accurate than the Harris-Benedict and Mifflin-St. Jeor equations because it considers body composition. However, the accuracy of the Katch-McArdle equation depends on the accuracy of the body fat measurement.
You need to have their body fat percentage to calculate lean body mass.
To measure lean body fat, you can use skinfold caliper measurements, bioelectrical impedance analysis, or dual-energy X-ray absorptiometry (DEXA).
Katch-McArdle Equation Example To Estimate BMR:
Let's say a 35-year-old male weighs 80 kilograms (176 pounds) and has a body fat percentage of 20%.
To calculate his lean body mass, we need to multiply his weight by (100 - body fat percentage) as follows:
- Lean body mass = 80 kg x (100% - 20%) = 64 kg
Using the Katch-McArdle equation, we can calculate his estimated BMR as follows:
- = 370 + (21.6 x lean body mass in kg) BMR
- = 370 + (21.6 x 64) BMR
- = 370 + 1,382.4 BMR
- = 1,752.4 calories per day
The estimated BMR using the Katch-McArdle equation is 1,908 calories per day.
This means that his body would burn approximately 1,752.4 calories per day if he were at complete rest, without any physical activity or food intake.
4. Cunningham equation
The Cunningham equation is a formula used to estimate BMR (Basal Metabolic Rate) for individuals who know their body fat percentage.
The equation considers the lean body mass, which is the body weight minus the body fat.
The Cunningham equation is:
- BMR = 500 + (22 x lean body mass in kg)
Cunningham Equation Example To Estimate BMR:
Let's say a 35-year-old male weighs 80 kilograms (176 pounds) and has a body fat percentage of 20%. To calculate his lean body mass, we need to multiply his weight by (100 - body fat percentage) as follows:
- Lean body mass = 80 kg x (100% - 20%) = 64 kg
Using the Cunningham equation, we can calculate his estimated BMR as follows:
- = 500 + (22 x lean body mass in kg) BMR
- = 500 + (22 × 64) BMR
- = 500 + 1,408 BMR
- = 1,908 calories per day
The estimated BMR using the Cunningham equation is 1,908 calories per day.
5. Owen Equation
The Owen equation is another method to estimate BMR that considers body surface area. Here is the formula:
- BMR (men) = 879 + 10.2 x weight (kg) + 6.25 x height (cm) - 5.4 x age (years)
- BMR (women) = 795 + 7.2 x weight (kg) + 4.7 x height (cm) - 4.7 x age (years)
Owen's Equation Example To Estimate BMR:
Note that the Owen equation is less commonly used than the Harris-Benedict or Mifflin-St. Jeor equations.
Let's say a 25-year-old female weighs 65 kilograms (143 pounds) and is 170 centimetres (5 feet 7 inches) tall.
- BMR = 795 + (7.2 x weight in kg) + (4.7 x height in cm) - (4.7 x age in years)
Substituting the values into the equation to get BMR:
- = 795 + (7.2 x 65) + (4.7 x 170) - (4.7 x 25)
- = 795 + 468 + 799 - 117.5
- = 1,944.5 calories per day
Therefore, this individual's estimated BMR using the Owen equation is 1,944.5 calories per day. This means that her body would burn approximately 1,944.5 calories per day if she were at complete rest, without any physical activity or food intake.