Least Common Multiple (LCM) of 106 and 183
The least common multiple (LCM) of 106 and 183 is 19398.
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 183?
First, calculate the GCD of 106 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 106 ÷ 183 = 0 remainder 106 |
| 2 | 183 ÷ 106 = 1 remainder 77 |
| 3 | 106 ÷ 77 = 1 remainder 29 |
| 4 | 77 ÷ 29 = 2 remainder 19 |
| 5 | 29 ÷ 19 = 1 remainder 10 |
| 6 | 19 ÷ 10 = 1 remainder 9 |
| 7 | 10 ÷ 9 = 1 remainder 1 |
| 8 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 66 and 86 | 2838 |
| 85 and 130 | 2210 |
| 58 and 44 | 1276 |
| 58 and 84 | 2436 |
| 186 and 128 | 11904 |