Least Common Multiple (LCM) of 141 and 192
The least common multiple (LCM) of 141 and 192 is 9024.
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 192?
First, calculate the GCD of 141 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 192 = 0 remainder 141 |
| 2 | 192 ÷ 141 = 1 remainder 51 |
| 3 | 141 ÷ 51 = 2 remainder 39 |
| 4 | 51 ÷ 39 = 1 remainder 12 |
| 5 | 39 ÷ 12 = 3 remainder 3 |
| 6 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 61 | 8296 |
| 45 and 120 | 360 |
| 177 and 58 | 10266 |
| 33 and 18 | 198 |
| 22 and 46 | 506 |