Least Common Multiple (LCM) of 86 and 183
The least common multiple (LCM) of 86 and 183 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 86 and 183?
First, calculate the GCD of 86 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 86 ÷ 183 = 0 remainder 86 |
| 2 | 183 ÷ 86 = 2 remainder 11 |
| 3 | 86 ÷ 11 = 7 remainder 9 |
| 4 | 11 ÷ 9 = 1 remainder 2 |
| 5 | 9 ÷ 2 = 4 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 112 | 1680 |
| 129 and 15 | 645 |
| 122 and 116 | 7076 |
| 120 and 118 | 7080 |
| 140 and 138 | 9660 |