Least Common Multiple (LCM) of 125 and 129
The least common multiple (LCM) of 125 and 129 is 16125.
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 125 and 129?
First, calculate the GCD of 125 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 129 = 0 remainder 125 |
| 2 | 129 ÷ 125 = 1 remainder 4 |
| 3 | 125 ÷ 4 = 31 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 47 | 4935 |
| 97 and 113 | 10961 |
| 144 and 189 | 3024 |
| 149 and 56 | 8344 |
| 115 and 95 | 2185 |