Least Common Multiple (LCM) of 115 and 131
The least common multiple (LCM) of 115 and 131 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 115 and 131?
First, calculate the GCD of 115 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 115 ÷ 131 = 0 remainder 115 |
| 2 | 131 ÷ 115 = 1 remainder 16 |
| 3 | 115 ÷ 16 = 7 remainder 3 |
| 4 | 16 ÷ 3 = 5 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 13 and 172 | 2236 |
| 139 and 165 | 22935 |
| 163 and 117 | 19071 |
| 39 and 80 | 3120 |
| 192 and 94 | 9024 |