Least Common Multiple (LCM) of 195 and 129
The least common multiple (LCM) of 195 and 129 is 8385.
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 195 and 129?
First, calculate the GCD of 195 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 129 = 1 remainder 66 |
| 2 | 129 ÷ 66 = 1 remainder 63 |
| 3 | 66 ÷ 63 = 1 remainder 3 |
| 4 | 63 ÷ 3 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 32 | 4000 |
| 191 and 42 | 8022 |
| 71 and 154 | 10934 |
| 46 and 13 | 598 |
| 156 and 116 | 4524 |