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 |
|---|---|
| 128 and 107 | 13696 |
| 83 and 108 | 8964 |
| 54 and 81 | 162 |
| 109 and 132 | 14388 |
| 151 and 136 | 20536 |