Least Common Multiple (LCM) of 126 and 115
The least common multiple (LCM) of 126 and 115 is 14490.
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 115?
First, calculate the GCD of 126 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 115 = 1 remainder 11 |
| 2 | 115 ÷ 11 = 10 remainder 5 |
| 3 | 11 ÷ 5 = 2 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 53 and 195 | 10335 |
| 106 and 198 | 10494 |
| 103 and 172 | 17716 |
| 199 and 64 | 12736 |
| 66 and 96 | 1056 |