Least Common Multiple (LCM) of 57 and 142
The least common multiple (LCM) of 57 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 57 and 142?
First, calculate the GCD of 57 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 57 ÷ 142 = 0 remainder 57 |
| 2 | 142 ÷ 57 = 2 remainder 28 |
| 3 | 57 ÷ 28 = 2 remainder 1 |
| 4 | 28 ÷ 1 = 28 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 13 and 157 | 2041 |
| 176 and 21 | 3696 |
| 31 and 166 | 5146 |
| 60 and 199 | 11940 |
| 128 and 43 | 5504 |