Least Common Multiple (LCM) of 104 and 190
The least common multiple (LCM) of 104 and 190 is 9880.
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 190?
First, calculate the GCD of 104 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 190 = 0 remainder 104 |
| 2 | 190 ÷ 104 = 1 remainder 86 |
| 3 | 104 ÷ 86 = 1 remainder 18 |
| 4 | 86 ÷ 18 = 4 remainder 14 |
| 5 | 18 ÷ 14 = 1 remainder 4 |
| 6 | 14 ÷ 4 = 3 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 88 | 1144 |
| 21 and 60 | 420 |
| 23 and 26 | 598 |
| 177 and 175 | 30975 |
| 42 and 149 | 6258 |