Least Common Multiple (LCM) of 131 and 146
The least common multiple (LCM) of 131 and 146 is 19126.
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 146?
First, calculate the GCD of 131 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 146 = 0 remainder 131 |
| 2 | 146 ÷ 131 = 1 remainder 15 |
| 3 | 131 ÷ 15 = 8 remainder 11 |
| 4 | 15 ÷ 11 = 1 remainder 4 |
| 5 | 11 ÷ 4 = 2 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 11 and 31 | 341 |
| 13 and 60 | 780 |
| 120 and 177 | 7080 |
| 83 and 50 | 4150 |
| 125 and 132 | 16500 |