Least Common Multiple (LCM) of 131 and 126
The least common multiple (LCM) of 131 and 126 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 131 and 126?
First, calculate the GCD of 131 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 126 = 1 remainder 5 |
| 2 | 126 ÷ 5 = 25 remainder 1 |
| 3 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 19 | 2128 |
| 174 and 139 | 24186 |
| 109 and 23 | 2507 |
| 129 and 123 | 5289 |
| 146 and 109 | 15914 |