Least Common Multiple (LCM) of 189 and 161
The least common multiple (LCM) of 189 and 161 is 4347.
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 161?
First, calculate the GCD of 189 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 189 ÷ 161 = 1 remainder 28 |
| 2 | 161 ÷ 28 = 5 remainder 21 |
| 3 | 28 ÷ 21 = 1 remainder 7 |
| 4 | 21 ÷ 7 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 131 | 14148 |
| 47 and 55 | 2585 |
| 194 and 183 | 35502 |
| 68 and 89 | 6052 |
| 132 and 131 | 17292 |