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 |
|---|---|
| 145 and 142 | 20590 |
| 112 and 22 | 1232 |
| 198 and 59 | 11682 |
| 190 and 83 | 15770 |
| 70 and 47 | 3290 |