Least Common Multiple (LCM) of 139 and 197
The least common multiple (LCM) of 139 and 197 is 27383.
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 139 and 197?
First, calculate the GCD of 139 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 197 = 0 remainder 139 |
| 2 | 197 ÷ 139 = 1 remainder 58 |
| 3 | 139 ÷ 58 = 2 remainder 23 |
| 4 | 58 ÷ 23 = 2 remainder 12 |
| 5 | 23 ÷ 12 = 1 remainder 11 |
| 6 | 12 ÷ 11 = 1 remainder 1 |
| 7 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 183 | 25986 |
| 142 and 159 | 22578 |
| 71 and 105 | 7455 |
| 15 and 64 | 960 |
| 67 and 96 | 6432 |