Least Common Multiple (LCM) of 189 and 186
The least common multiple (LCM) of 189 and 186 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 189 and 186?
First, calculate the GCD of 189 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 189 ÷ 186 = 1 remainder 3 |
| 2 | 186 ÷ 3 = 62 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 194 and 170 | 16490 |
| 98 and 176 | 8624 |
| 178 and 43 | 7654 |
| 164 and 155 | 25420 |
| 77 and 122 | 9394 |