Least Common Multiple (LCM) of 129 and 146
The least common multiple (LCM) of 129 and 146 is 18834.
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 146?
First, calculate the GCD of 129 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 146 = 0 remainder 129 |
| 2 | 146 ÷ 129 = 1 remainder 17 |
| 3 | 129 ÷ 17 = 7 remainder 10 |
| 4 | 17 ÷ 10 = 1 remainder 7 |
| 5 | 10 ÷ 7 = 1 remainder 3 |
| 6 | 7 ÷ 3 = 2 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 34 | 3400 |
| 146 and 25 | 3650 |
| 162 and 73 | 11826 |
| 174 and 56 | 4872 |
| 71 and 105 | 7455 |