Least Common Multiple (LCM) of 159 and 130
The least common multiple (LCM) of 159 and 130 is 20670.
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 130?
First, calculate the GCD of 159 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 130 = 1 remainder 29 |
| 2 | 130 ÷ 29 = 4 remainder 14 |
| 3 | 29 ÷ 14 = 2 remainder 1 |
| 4 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 163 and 76 | 12388 |
| 58 and 59 | 3422 |
| 72 and 105 | 2520 |
| 103 and 113 | 11639 |
| 59 and 10 | 590 |