Least Common Multiple (LCM) of 103 and 86
The least common multiple (LCM) of 103 and 86 is 8858.
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 103 and 86?
First, calculate the GCD of 103 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 103 ÷ 86 = 1 remainder 17 |
| 2 | 86 ÷ 17 = 5 remainder 1 |
| 3 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 31 | 3813 |
| 199 and 107 | 21293 |
| 112 and 31 | 3472 |
| 124 and 107 | 13268 |
| 136 and 54 | 3672 |