Least Common Multiple (LCM) of 139 and 194
The least common multiple (LCM) of 139 and 194 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 139 and 194?
First, calculate the GCD of 139 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 194 = 0 remainder 139 |
| 2 | 194 ÷ 139 = 1 remainder 55 |
| 3 | 139 ÷ 55 = 2 remainder 29 |
| 4 | 55 ÷ 29 = 1 remainder 26 |
| 5 | 29 ÷ 26 = 1 remainder 3 |
| 6 | 26 ÷ 3 = 8 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 156 and 17 | 2652 |
| 164 and 89 | 14596 |
| 80 and 158 | 6320 |
| 127 and 118 | 14986 |
| 54 and 79 | 4266 |