Least Common Multiple (LCM) of 142 and 127
The least common multiple (LCM) of 142 and 127 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 142 and 127?
First, calculate the GCD of 142 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 127 = 1 remainder 15 |
| 2 | 127 ÷ 15 = 8 remainder 7 |
| 3 | 15 ÷ 7 = 2 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 23 | 3381 |
| 154 and 60 | 4620 |
| 92 and 53 | 4876 |
| 109 and 172 | 18748 |
| 149 and 169 | 25181 |