Least Common Multiple (LCM) of 159 and 142
The least common multiple (LCM) of 159 and 142 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 159 and 142?
First, calculate the GCD of 159 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 142 = 1 remainder 17 |
| 2 | 142 ÷ 17 = 8 remainder 6 |
| 3 | 17 ÷ 6 = 2 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 64 and 83 | 5312 |
| 160 and 116 | 4640 |
| 127 and 61 | 7747 |
| 17 and 189 | 3213 |
| 110 and 21 | 2310 |