Least Common Multiple (LCM) of 159 and 131
The least common multiple (LCM) of 159 and 131 is 20829.
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 131?
First, calculate the GCD of 159 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 131 = 1 remainder 28 |
| 2 | 131 ÷ 28 = 4 remainder 19 |
| 3 | 28 ÷ 19 = 1 remainder 9 |
| 4 | 19 ÷ 9 = 2 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 28 and 14 | 28 |
| 178 and 51 | 9078 |
| 10 and 101 | 1010 |
| 150 and 116 | 8700 |
| 175 and 152 | 26600 |