Least Common Multiple (LCM) of 161 and 189
The least common multiple (LCM) of 161 and 189 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 161 and 189?
First, calculate the GCD of 161 and 189 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 189 = 0 remainder 161 |
| 2 | 189 ÷ 161 = 1 remainder 28 |
| 3 | 161 ÷ 28 = 5 remainder 21 |
| 4 | 28 ÷ 21 = 1 remainder 7 |
| 5 | 21 ÷ 7 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 189 | 6426 |
| 146 and 13 | 1898 |
| 77 and 174 | 13398 |
| 104 and 61 | 6344 |
| 116 and 100 | 2900 |