Least Common Multiple (LCM) of 129 and 194
The least common multiple (LCM) of 129 and 194 is 25026.
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 129 and 194?
First, calculate the GCD of 129 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 194 = 0 remainder 129 |
| 2 | 194 ÷ 129 = 1 remainder 65 |
| 3 | 129 ÷ 65 = 1 remainder 64 |
| 4 | 65 ÷ 64 = 1 remainder 1 |
| 5 | 64 ÷ 1 = 64 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 45 | 1710 |
| 156 and 131 | 20436 |
| 145 and 118 | 17110 |
| 127 and 93 | 11811 |
| 146 and 197 | 28762 |