Least Common Multiple (LCM) of 188 and 129
The least common multiple (LCM) of 188 and 129 is 24252.
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 188 and 129?
First, calculate the GCD of 188 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 129 = 1 remainder 59 |
| 2 | 129 ÷ 59 = 2 remainder 11 |
| 3 | 59 ÷ 11 = 5 remainder 4 |
| 4 | 11 ÷ 4 = 2 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 173 and 159 | 27507 |
| 200 and 62 | 6200 |
| 63 and 192 | 4032 |
| 134 and 22 | 1474 |
| 101 and 140 | 14140 |