Least Common Multiple (LCM) of 190 and 129
The least common multiple (LCM) of 190 and 129 is 24510.
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 190 and 129?
First, calculate the GCD of 190 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 129 = 1 remainder 61 |
| 2 | 129 ÷ 61 = 2 remainder 7 |
| 3 | 61 ÷ 7 = 8 remainder 5 |
| 4 | 7 ÷ 5 = 1 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 93 | 5580 |
| 140 and 144 | 5040 |
| 186 and 56 | 5208 |
| 50 and 162 | 4050 |
| 113 and 56 | 6328 |