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 |
|---|---|
| 188 and 142 | 13348 |
| 180 and 131 | 23580 |
| 170 and 78 | 6630 |
| 71 and 89 | 6319 |
| 174 and 73 | 12702 |