Least Common Multiple (LCM) of 186 and 189
The least common multiple (LCM) of 186 and 189 is 11718.
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 189?
First, calculate the GCD of 186 and 189 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 189 = 0 remainder 186 |
| 2 | 189 ÷ 186 = 1 remainder 3 |
| 3 | 186 ÷ 3 = 62 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 122 | 1098 |
| 170 and 83 | 14110 |
| 112 and 15 | 1680 |
| 174 and 49 | 8526 |
| 140 and 52 | 1820 |