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 |
|---|---|
| 160 and 105 | 3360 |
| 64 and 22 | 704 |
| 119 and 113 | 13447 |
| 144 and 118 | 8496 |
| 146 and 132 | 9636 |