Least Common Multiple (LCM) of 181 and 189
The least common multiple (LCM) of 181 and 189 is 34209.
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 181 and 189?
First, calculate the GCD of 181 and 189 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 189 = 0 remainder 181 |
| 2 | 189 ÷ 181 = 1 remainder 8 |
| 3 | 181 ÷ 8 = 22 remainder 5 |
| 4 | 8 ÷ 5 = 1 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 191 | 8595 |
| 36 and 54 | 108 |
| 92 and 19 | 1748 |
| 131 and 198 | 25938 |
| 117 and 31 | 3627 |