Least Common Multiple (LCM) of 127 and 142
The least common multiple (LCM) of 127 and 142 is 18034.
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 142?
First, calculate the GCD of 127 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 142 = 0 remainder 127 |
| 2 | 142 ÷ 127 = 1 remainder 15 |
| 3 | 127 ÷ 15 = 8 remainder 7 |
| 4 | 15 ÷ 7 = 2 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 135 | 270 |
| 44 and 190 | 4180 |
| 154 and 54 | 4158 |
| 110 and 56 | 3080 |
| 62 and 56 | 1736 |