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 |
|---|---|
| 132 and 54 | 1188 |
| 120 and 41 | 4920 |
| 179 and 160 | 28640 |
| 41 and 184 | 7544 |
| 144 and 124 | 4464 |