Least Common Multiple (LCM) of 104 and 115
The least common multiple (LCM) of 104 and 115 is 11960.
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 115?
First, calculate the GCD of 104 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 115 = 0 remainder 104 |
| 2 | 115 ÷ 104 = 1 remainder 11 |
| 3 | 104 ÷ 11 = 9 remainder 5 |
| 4 | 11 ÷ 5 = 2 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 148 | 29452 |
| 178 and 197 | 35066 |
| 197 and 199 | 39203 |
| 123 and 175 | 21525 |
| 89 and 102 | 9078 |