Least Common Multiple (LCM) of 129 and 58
The least common multiple (LCM) of 129 and 58 is 7482.
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 58?
First, calculate the GCD of 129 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 58 = 2 remainder 13 |
| 2 | 58 ÷ 13 = 4 remainder 6 |
| 3 | 13 ÷ 6 = 2 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 28 | 5068 |
| 124 and 167 | 20708 |
| 151 and 91 | 13741 |
| 14 and 160 | 1120 |
| 179 and 91 | 16289 |