Least Common Multiple (LCM) of 134 and 86
The least common multiple (LCM) of 134 and 86 is 5762.
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 86?
First, calculate the GCD of 134 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 86 = 1 remainder 48 |
| 2 | 86 ÷ 48 = 1 remainder 38 |
| 3 | 48 ÷ 38 = 1 remainder 10 |
| 4 | 38 ÷ 10 = 3 remainder 8 |
| 5 | 10 ÷ 8 = 1 remainder 2 |
| 6 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 120 | 1560 |
| 115 and 199 | 22885 |
| 122 and 128 | 7808 |
| 101 and 78 | 7878 |
| 50 and 193 | 9650 |