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 |
|---|---|
| 140 and 53 | 7420 |
| 119 and 95 | 11305 |
| 177 and 38 | 6726 |
| 157 and 141 | 22137 |
| 106 and 72 | 3816 |