Least Common Multiple (LCM) of 131 and 181
The least common multiple (LCM) of 131 and 181 is 23711.
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 131 and 181?
First, calculate the GCD of 131 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 181 = 0 remainder 131 |
| 2 | 181 ÷ 131 = 1 remainder 50 |
| 3 | 131 ÷ 50 = 2 remainder 31 |
| 4 | 50 ÷ 31 = 1 remainder 19 |
| 5 | 31 ÷ 19 = 1 remainder 12 |
| 6 | 19 ÷ 12 = 1 remainder 7 |
| 7 | 12 ÷ 7 = 1 remainder 5 |
| 8 | 7 ÷ 5 = 1 remainder 2 |
| 9 | 5 ÷ 2 = 2 remainder 1 |
| 10 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 17 | 255 |
| 53 and 139 | 7367 |
| 52 and 74 | 1924 |
| 129 and 169 | 21801 |
| 187 and 197 | 36839 |