Least Common Multiple (LCM) of 142 and 159
The least common multiple (LCM) of 142 and 159 is 22578.
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 159?
First, calculate the GCD of 142 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 159 = 0 remainder 142 |
| 2 | 159 ÷ 142 = 1 remainder 17 |
| 3 | 142 ÷ 17 = 8 remainder 6 |
| 4 | 17 ÷ 6 = 2 remainder 5 |
| 5 | 6 ÷ 5 = 1 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 11 and 28 | 308 |
| 71 and 54 | 3834 |
| 133 and 126 | 2394 |
| 108 and 175 | 18900 |
| 115 and 65 | 1495 |