Least Common Multiple (LCM) of 142 and 57
The least common multiple (LCM) of 142 and 57 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 142 and 57?
First, calculate the GCD of 142 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 57 = 2 remainder 28 |
| 2 | 57 ÷ 28 = 2 remainder 1 |
| 3 | 28 ÷ 1 = 28 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 73 | 14308 |
| 94 and 158 | 7426 |
| 104 and 46 | 2392 |
| 174 and 133 | 23142 |
| 179 and 77 | 13783 |