Least Common Multiple (LCM) of 130 and 159
The least common multiple (LCM) of 130 and 159 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 130 and 159?
First, calculate the GCD of 130 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 159 = 0 remainder 130 |
| 2 | 159 ÷ 130 = 1 remainder 29 |
| 3 | 130 ÷ 29 = 4 remainder 14 |
| 4 | 29 ÷ 14 = 2 remainder 1 |
| 5 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 56 | 9576 |
| 105 and 28 | 420 |
| 142 and 109 | 15478 |
| 178 and 52 | 4628 |
| 157 and 47 | 7379 |