Least Common Multiple (LCM) of 191 and 104
The least common multiple (LCM) of 191 and 104 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 191 and 104?
First, calculate the GCD of 191 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 104 = 1 remainder 87 |
| 2 | 104 ÷ 87 = 1 remainder 17 |
| 3 | 87 ÷ 17 = 5 remainder 2 |
| 4 | 17 ÷ 2 = 8 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 141 | 22137 |
| 140 and 79 | 11060 |
| 123 and 72 | 2952 |
| 193 and 156 | 30108 |
| 68 and 39 | 2652 |