Least Common Multiple (LCM) of 186 and 146
The least common multiple (LCM) of 186 and 146 is 13578.
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 146?
First, calculate the GCD of 186 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 146 = 1 remainder 40 |
| 2 | 146 ÷ 40 = 3 remainder 26 |
| 3 | 40 ÷ 26 = 1 remainder 14 |
| 4 | 26 ÷ 14 = 1 remainder 12 |
| 5 | 14 ÷ 12 = 1 remainder 2 |
| 6 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 81 and 142 | 11502 |
| 36 and 186 | 1116 |
| 87 and 164 | 14268 |
| 12 and 187 | 2244 |
| 80 and 137 | 10960 |