Least Common Multiple (LCM) of 139 and 129
The least common multiple (LCM) of 139 and 129 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 139 and 129?
First, calculate the GCD of 139 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 129 = 1 remainder 10 |
| 2 | 129 ÷ 10 = 12 remainder 9 |
| 3 | 10 ÷ 9 = 1 remainder 1 |
| 4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 114 | 22686 |
| 171 and 177 | 10089 |
| 126 and 10 | 630 |
| 155 and 10 | 310 |
| 180 and 142 | 12780 |