Least Common Multiple (LCM) of 129 and 192
The least common multiple (LCM) of 129 and 192 is 8256.
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 129 and 192?
First, calculate the GCD of 129 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 192 = 0 remainder 129 |
| 2 | 192 ÷ 129 = 1 remainder 63 |
| 3 | 129 ÷ 63 = 2 remainder 3 |
| 4 | 63 ÷ 3 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 138 | 17526 |
| 51 and 182 | 9282 |
| 45 and 38 | 1710 |
| 81 and 101 | 8181 |
| 89 and 119 | 10591 |