Least Common Multiple (LCM) of 194 and 139
The least common multiple (LCM) of 194 and 139 is 26966.
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 194 and 139?
First, calculate the GCD of 194 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 139 = 1 remainder 55 |
| 2 | 139 ÷ 55 = 2 remainder 29 |
| 3 | 55 ÷ 29 = 1 remainder 26 |
| 4 | 29 ÷ 26 = 1 remainder 3 |
| 5 | 26 ÷ 3 = 8 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 139 | 12371 |
| 199 and 200 | 39800 |
| 197 and 31 | 6107 |
| 29 and 176 | 5104 |
| 169 and 188 | 31772 |