Least Common Multiple (LCM) of 127 and 126
The least common multiple (LCM) of 127 and 126 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 127 and 126?
First, calculate the GCD of 127 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 126 = 1 remainder 1 |
| 2 | 126 ÷ 1 = 126 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 54 | 7182 |
| 108 and 128 | 3456 |
| 77 and 167 | 12859 |
| 159 and 153 | 8109 |
| 166 and 65 | 10790 |