Least Common Multiple (LCM) of 129 and 139
The least common multiple (LCM) of 129 and 139 is 17931.
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 139?
First, calculate the GCD of 129 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 139 = 0 remainder 129 |
| 2 | 139 ÷ 129 = 1 remainder 10 |
| 3 | 129 ÷ 10 = 12 remainder 9 |
| 4 | 10 ÷ 9 = 1 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 29 | 5713 |
| 142 and 142 | 142 |
| 110 and 121 | 1210 |
| 76 and 106 | 4028 |
| 29 and 189 | 5481 |