Least Common Multiple (LCM) of 131 and 26
The least common multiple (LCM) of 131 and 26 is 3406.
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 26?
First, calculate the GCD of 131 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 26 = 5 remainder 1 |
| 2 | 26 ÷ 1 = 26 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 123 | 4797 |
| 34 and 89 | 3026 |
| 75 and 34 | 2550 |
| 131 and 51 | 6681 |
| 54 and 20 | 540 |