Least Common Multiple (LCM) of 126 and 127
The least common multiple (LCM) of 126 and 127 is 16002.
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 127?
First, calculate the GCD of 126 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 127 = 0 remainder 126 |
| 2 | 127 ÷ 126 = 1 remainder 1 |
| 3 | 126 ÷ 1 = 126 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 154 | 10010 |
| 103 and 69 | 7107 |
| 85 and 113 | 9605 |
| 11 and 10 | 110 |
| 45 and 195 | 585 |