Least Common Multiple (LCM) of 191 and 181
The least common multiple (LCM) of 191 and 181 is 34571.
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 181?
First, calculate the GCD of 191 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 181 = 1 remainder 10 |
| 2 | 181 ÷ 10 = 18 remainder 1 |
| 3 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 49 and 167 | 8183 |
| 176 and 55 | 880 |
| 53 and 137 | 7261 |
| 110 and 13 | 1430 |
| 164 and 134 | 10988 |