Least Common Multiple (LCM) of 104 and 183
The least common multiple (LCM) of 104 and 183 is 19032.
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 183?
First, calculate the GCD of 104 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 183 = 0 remainder 104 |
| 2 | 183 ÷ 104 = 1 remainder 79 |
| 3 | 104 ÷ 79 = 1 remainder 25 |
| 4 | 79 ÷ 25 = 3 remainder 4 |
| 5 | 25 ÷ 4 = 6 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 101 | 12423 |
| 70 and 179 | 12530 |
| 176 and 177 | 31152 |
| 64 and 100 | 1600 |
| 127 and 20 | 2540 |