Least Common Multiple (LCM) of 191 and 55
The least common multiple (LCM) of 191 and 55 is 10505.
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 55?
First, calculate the GCD of 191 and 55 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 55 = 3 remainder 26 |
| 2 | 55 ÷ 26 = 2 remainder 3 |
| 3 | 26 ÷ 3 = 8 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 69 | 3519 |
| 186 and 124 | 372 |
| 200 and 180 | 1800 |
| 199 and 38 | 7562 |
| 91 and 106 | 9646 |