Least Common Multiple (LCM) of 183 and 86
The least common multiple (LCM) of 183 and 86 is 15738.
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 183 and 86?
First, calculate the GCD of 183 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 86 = 2 remainder 11 |
| 2 | 86 ÷ 11 = 7 remainder 9 |
| 3 | 11 ÷ 9 = 1 remainder 2 |
| 4 | 9 ÷ 2 = 4 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 185 and 71 | 13135 |
| 82 and 135 | 11070 |
| 129 and 200 | 25800 |
| 120 and 109 | 13080 |
| 188 and 74 | 6956 |