Least Common Multiple (LCM) of 159 and 80
The least common multiple (LCM) of 159 and 80 is 12720.
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 80?
First, calculate the GCD of 159 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 80 = 1 remainder 79 |
| 2 | 80 ÷ 79 = 1 remainder 1 |
| 3 | 79 ÷ 1 = 79 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 54 | 2862 |
| 106 and 167 | 17702 |
| 86 and 189 | 16254 |
| 126 and 140 | 1260 |
| 103 and 20 | 2060 |