Least Common Multiple (LCM) of 115 and 104
The least common multiple (LCM) of 115 and 104 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 115 and 104?
First, calculate the GCD of 115 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 115 ÷ 104 = 1 remainder 11 |
| 2 | 104 ÷ 11 = 9 remainder 5 |
| 3 | 11 ÷ 5 = 2 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 88 | 4136 |
| 151 and 43 | 6493 |
| 194 and 108 | 10476 |
| 125 and 25 | 125 |
| 111 and 50 | 5550 |