Least Common Multiple (LCM) of 189 and 185
The least common multiple (LCM) of 189 and 185 is 34965.
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 185?
First, calculate the GCD of 189 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 189 ÷ 185 = 1 remainder 4 |
| 2 | 185 ÷ 4 = 46 remainder 1 |
| 3 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 195 | 390 |
| 117 and 103 | 12051 |
| 81 and 87 | 2349 |
| 16 and 173 | 2768 |
| 188 and 175 | 32900 |