Least Common Multiple (LCM) of 115 and 181
The least common multiple (LCM) of 115 and 181 is 20815.
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 115 and 181?
First, calculate the GCD of 115 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 115 ÷ 181 = 0 remainder 115 |
| 2 | 181 ÷ 115 = 1 remainder 66 |
| 3 | 115 ÷ 66 = 1 remainder 49 |
| 4 | 66 ÷ 49 = 1 remainder 17 |
| 5 | 49 ÷ 17 = 2 remainder 15 |
| 6 | 17 ÷ 15 = 1 remainder 2 |
| 7 | 15 ÷ 2 = 7 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 10 | 880 |
| 167 and 167 | 167 |
| 54 and 88 | 2376 |
| 147 and 64 | 9408 |
| 178 and 138 | 12282 |