Least Common Multiple (LCM) of 141 and 189
The least common multiple (LCM) of 141 and 189 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 141 and 189?
First, calculate the GCD of 141 and 189 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 189 = 0 remainder 141 |
| 2 | 189 ÷ 141 = 1 remainder 48 |
| 3 | 141 ÷ 48 = 2 remainder 45 |
| 4 | 48 ÷ 45 = 1 remainder 3 |
| 5 | 45 ÷ 3 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 90 and 146 | 6570 |
| 177 and 51 | 3009 |
| 179 and 89 | 15931 |
| 144 and 42 | 1008 |
| 76 and 48 | 912 |