Least Common Multiple (LCM) of 197 and 139
The least common multiple (LCM) of 197 and 139 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 197 and 139?
First, calculate the GCD of 197 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 139 = 1 remainder 58 |
| 2 | 139 ÷ 58 = 2 remainder 23 |
| 3 | 58 ÷ 23 = 2 remainder 12 |
| 4 | 23 ÷ 12 = 1 remainder 11 |
| 5 | 12 ÷ 11 = 1 remainder 1 |
| 6 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 140 | 140 |
| 102 and 199 | 20298 |
| 182 and 90 | 8190 |
| 107 and 49 | 5243 |
| 179 and 44 | 7876 |