Least Common Multiple (LCM) of 114 and 142
The least common multiple (LCM) of 114 and 142 is 8094.
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 114 and 142?
First, calculate the GCD of 114 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 114 ÷ 142 = 0 remainder 114 |
| 2 | 142 ÷ 114 = 1 remainder 28 |
| 3 | 114 ÷ 28 = 4 remainder 2 |
| 4 | 28 ÷ 2 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 10 | 370 |
| 157 and 71 | 11147 |
| 172 and 123 | 21156 |
| 152 and 107 | 16264 |
| 199 and 17 | 3383 |