Least Common Multiple (LCM) of 134 and 190
The least common multiple (LCM) of 134 and 190 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 134 and 190?
First, calculate the GCD of 134 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 190 = 0 remainder 134 |
| 2 | 190 ÷ 134 = 1 remainder 56 |
| 3 | 134 ÷ 56 = 2 remainder 22 |
| 4 | 56 ÷ 22 = 2 remainder 12 |
| 5 | 22 ÷ 12 = 1 remainder 10 |
| 6 | 12 ÷ 10 = 1 remainder 2 |
| 7 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 120 | 8760 |
| 174 and 134 | 11658 |
| 140 and 65 | 1820 |
| 67 and 51 | 3417 |
| 108 and 125 | 13500 |