Least Common Multiple (LCM) of 104 and 187
The least common multiple (LCM) of 104 and 187 is 19448.
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 187?
First, calculate the GCD of 104 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 187 = 0 remainder 104 |
| 2 | 187 ÷ 104 = 1 remainder 83 |
| 3 | 104 ÷ 83 = 1 remainder 21 |
| 4 | 83 ÷ 21 = 3 remainder 20 |
| 5 | 21 ÷ 20 = 1 remainder 1 |
| 6 | 20 ÷ 1 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 111 | 13209 |
| 142 and 189 | 26838 |
| 106 and 150 | 7950 |
| 73 and 48 | 3504 |
| 199 and 181 | 36019 |