Least Common Multiple (LCM) of 104 and 188
The least common multiple (LCM) of 104 and 188 is 4888.
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 188?
First, calculate the GCD of 104 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 188 = 0 remainder 104 |
| 2 | 188 ÷ 104 = 1 remainder 84 |
| 3 | 104 ÷ 84 = 1 remainder 20 |
| 4 | 84 ÷ 20 = 4 remainder 4 |
| 5 | 20 ÷ 4 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 11 and 193 | 2123 |
| 50 and 112 | 2800 |
| 33 and 43 | 1419 |
| 190 and 171 | 1710 |
| 19 and 74 | 1406 |