Least Common Multiple (LCM) of 191 and 141
The least common multiple (LCM) of 191 and 141 is 26931.
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 141?
First, calculate the GCD of 191 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 141 = 1 remainder 50 |
| 2 | 141 ÷ 50 = 2 remainder 41 |
| 3 | 50 ÷ 41 = 1 remainder 9 |
| 4 | 41 ÷ 9 = 4 remainder 5 |
| 5 | 9 ÷ 5 = 1 remainder 4 |
| 6 | 5 ÷ 4 = 1 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 18 | 774 |
| 137 and 80 | 10960 |
| 170 and 155 | 5270 |
| 137 and 199 | 27263 |
| 200 and 128 | 3200 |