Least Common Multiple (LCM) of 194 and 129
The least common multiple (LCM) of 194 and 129 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 194 and 129?
First, calculate the GCD of 194 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 129 = 1 remainder 65 |
| 2 | 129 ÷ 65 = 1 remainder 64 |
| 3 | 65 ÷ 64 = 1 remainder 1 |
| 4 | 64 ÷ 1 = 64 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 137 | 14796 |
| 84 and 40 | 840 |
| 130 and 65 | 130 |
| 83 and 21 | 1743 |
| 126 and 160 | 10080 |