Least Common Multiple (LCM) of 129 and 25
The least common multiple (LCM) of 129 and 25 is 3225.
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 25?
First, calculate the GCD of 129 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 25 = 5 remainder 4 |
| 2 | 25 ÷ 4 = 6 remainder 1 |
| 3 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 76 | 10412 |
| 196 and 138 | 13524 |
| 55 and 131 | 7205 |
| 117 and 161 | 18837 |
| 55 and 136 | 7480 |