Least Common Multiple (LCM) of 126 and 131
The least common multiple (LCM) of 126 and 131 is 16506.
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 126 and 131?
First, calculate the GCD of 126 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 131 = 0 remainder 126 |
| 2 | 131 ÷ 126 = 1 remainder 5 |
| 3 | 126 ÷ 5 = 25 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 42 | 7098 |
| 108 and 50 | 2700 |
| 18 and 40 | 360 |
| 13 and 145 | 1885 |
| 186 and 164 | 15252 |