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 |
|---|---|
| 145 and 137 | 19865 |
| 52 and 98 | 2548 |
| 77 and 135 | 10395 |
| 120 and 95 | 2280 |
| 181 and 138 | 24978 |