Least Common Multiple (LCM) of 106 and 86
The least common multiple (LCM) of 106 and 86 is 4558.
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 106 and 86?
First, calculate the GCD of 106 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 106 ÷ 86 = 1 remainder 20 |
| 2 | 86 ÷ 20 = 4 remainder 6 |
| 3 | 20 ÷ 6 = 3 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 182 and 179 | 32578 |
| 185 and 162 | 29970 |
| 114 and 195 | 7410 |
| 158 and 173 | 27334 |
| 30 and 74 | 1110 |