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 |
|---|---|
| 152 and 78 | 5928 |
| 70 and 31 | 2170 |
| 98 and 52 | 2548 |
| 109 and 124 | 13516 |
| 55 and 85 | 935 |