Least Common Multiple (LCM) of 187 and 129
The least common multiple (LCM) of 187 and 129 is 24123.
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 187 and 129?
First, calculate the GCD of 187 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 129 = 1 remainder 58 |
| 2 | 129 ÷ 58 = 2 remainder 13 |
| 3 | 58 ÷ 13 = 4 remainder 6 |
| 4 | 13 ÷ 6 = 2 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 183 | 9150 |
| 162 and 189 | 1134 |
| 94 and 12 | 564 |
| 54 and 195 | 3510 |
| 142 and 88 | 6248 |