Least Common Multiple (LCM) of 190 and 134
The least common multiple (LCM) of 190 and 134 is 12730.
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 134?
First, calculate the GCD of 190 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 134 = 1 remainder 56 |
| 2 | 134 ÷ 56 = 2 remainder 22 |
| 3 | 56 ÷ 22 = 2 remainder 12 |
| 4 | 22 ÷ 12 = 1 remainder 10 |
| 5 | 12 ÷ 10 = 1 remainder 2 |
| 6 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 195 | 24180 |
| 120 and 180 | 360 |
| 130 and 54 | 3510 |
| 112 and 115 | 12880 |
| 135 and 149 | 20115 |