Least Common Multiple (LCM) of 131 and 115
The least common multiple (LCM) of 131 and 115 is 15065.
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 115?
First, calculate the GCD of 131 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 115 = 1 remainder 16 |
| 2 | 115 ÷ 16 = 7 remainder 3 |
| 3 | 16 ÷ 3 = 5 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 19 and 77 | 1463 |
| 31 and 61 | 1891 |
| 107 and 134 | 14338 |
| 39 and 74 | 2886 |
| 79 and 92 | 7268 |