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 |
|---|---|
| 185 and 71 | 13135 |
| 55 and 26 | 1430 |
| 112 and 88 | 1232 |
| 52 and 52 | 52 |
| 150 and 158 | 11850 |