Least Common Multiple (LCM) of 192 and 129
The least common multiple (LCM) of 192 and 129 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 192 and 129?
First, calculate the GCD of 192 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 129 = 1 remainder 63 |
| 2 | 129 ÷ 63 = 2 remainder 3 |
| 3 | 63 ÷ 3 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 179 | 21480 |
| 49 and 192 | 9408 |
| 95 and 81 | 7695 |
| 61 and 131 | 7991 |
| 146 and 174 | 12702 |