Least Common Multiple (LCM) of 186 and 129
The least common multiple (LCM) of 186 and 129 is 7998.
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 186 and 129?
First, calculate the GCD of 186 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 129 = 1 remainder 57 |
| 2 | 129 ÷ 57 = 2 remainder 15 |
| 3 | 57 ÷ 15 = 3 remainder 12 |
| 4 | 15 ÷ 12 = 1 remainder 3 |
| 5 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 82 | 4920 |
| 44 and 173 | 7612 |
| 27 and 73 | 1971 |
| 87 and 160 | 13920 |
| 128 and 82 | 5248 |