Least Common Multiple (LCM) of 129 and 39
The least common multiple (LCM) of 129 and 39 is 1677.
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 39?
First, calculate the GCD of 129 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 39 = 3 remainder 12 |
| 2 | 39 ÷ 12 = 3 remainder 3 |
| 3 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 117 | 22581 |
| 68 and 59 | 4012 |
| 185 and 193 | 35705 |
| 111 and 120 | 4440 |
| 174 and 45 | 2610 |