Least Common Multiple (LCM) of 183 and 115
The least common multiple (LCM) of 183 and 115 is 21045.
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 115?
First, calculate the GCD of 183 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 115 = 1 remainder 68 |
| 2 | 115 ÷ 68 = 1 remainder 47 |
| 3 | 68 ÷ 47 = 1 remainder 21 |
| 4 | 47 ÷ 21 = 2 remainder 5 |
| 5 | 21 ÷ 5 = 4 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 129 | 25671 |
| 41 and 123 | 123 |
| 84 and 59 | 4956 |
| 160 and 46 | 3680 |
| 142 and 105 | 14910 |