Least Common Multiple (LCM) of 129 and 95
The least common multiple (LCM) of 129 and 95 is 12255.
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 95?
First, calculate the GCD of 129 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 95 = 1 remainder 34 |
| 2 | 95 ÷ 34 = 2 remainder 27 |
| 3 | 34 ÷ 27 = 1 remainder 7 |
| 4 | 27 ÷ 7 = 3 remainder 6 |
| 5 | 7 ÷ 6 = 1 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 88 and 83 | 7304 |
| 120 and 105 | 840 |
| 91 and 159 | 14469 |
| 42 and 41 | 1722 |
| 142 and 145 | 20590 |