Least Common Multiple (LCM) of 104 and 191
The least common multiple (LCM) of 104 and 191 is 19864.
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 191?
First, calculate the GCD of 104 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 191 = 0 remainder 104 |
| 2 | 191 ÷ 104 = 1 remainder 87 |
| 3 | 104 ÷ 87 = 1 remainder 17 |
| 4 | 87 ÷ 17 = 5 remainder 2 |
| 5 | 17 ÷ 2 = 8 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 140 | 700 |
| 81 and 111 | 2997 |
| 21 and 160 | 3360 |
| 70 and 13 | 910 |
| 116 and 78 | 4524 |