Least Common Multiple (LCM) of 189 and 141
The least common multiple (LCM) of 189 and 141 is 8883.
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 141?
First, calculate the GCD of 189 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 189 ÷ 141 = 1 remainder 48 |
| 2 | 141 ÷ 48 = 2 remainder 45 |
| 3 | 48 ÷ 45 = 1 remainder 3 |
| 4 | 45 ÷ 3 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 142 | 25134 |
| 130 and 38 | 2470 |
| 52 and 82 | 2132 |
| 20 and 20 | 20 |
| 82 and 20 | 820 |