Least Common Multiple (LCM) of 129 and 52
The least common multiple (LCM) of 129 and 52 is 6708.
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 52?
First, calculate the GCD of 129 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 52 = 2 remainder 25 |
| 2 | 52 ÷ 25 = 2 remainder 2 |
| 3 | 25 ÷ 2 = 12 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 177 | 19293 |
| 66 and 136 | 4488 |
| 195 and 115 | 4485 |
| 181 and 40 | 7240 |
| 156 and 88 | 3432 |