Least Common Multiple (LCM) of 142 and 86
The least common multiple (LCM) of 142 and 86 is 6106.
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 142 and 86?
First, calculate the GCD of 142 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 86 = 1 remainder 56 |
| 2 | 86 ÷ 56 = 1 remainder 30 |
| 3 | 56 ÷ 30 = 1 remainder 26 |
| 4 | 30 ÷ 26 = 1 remainder 4 |
| 5 | 26 ÷ 4 = 6 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 182 | 2730 |
| 75 and 56 | 4200 |
| 44 and 131 | 5764 |
| 127 and 133 | 16891 |
| 137 and 41 | 5617 |