Least Common Multiple (LCM) of 104 and 159
The least common multiple (LCM) of 104 and 159 is 16536.
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 104 and 159?
First, calculate the GCD of 104 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 159 = 0 remainder 104 |
| 2 | 159 ÷ 104 = 1 remainder 55 |
| 3 | 104 ÷ 55 = 1 remainder 49 |
| 4 | 55 ÷ 49 = 1 remainder 6 |
| 5 | 49 ÷ 6 = 8 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 15 | 105 |
| 110 and 159 | 17490 |
| 130 and 182 | 910 |
| 200 and 151 | 30200 |
| 20 and 130 | 260 |