Least Common Multiple (LCM) of 91 and 39
The least common multiple (LCM) of 91 and 39 is 273.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 91 and 39?
First, calculate the GCD of 91 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 91 ÷ 39 = 2 remainder 13 |
| 2 | 39 ÷ 13 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 166 | 22742 |
| 127 and 65 | 8255 |
| 91 and 114 | 10374 |
| 166 and 131 | 21746 |
| 102 and 102 | 102 |