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 |
|---|---|
| 114 and 192 | 3648 |
| 13 and 54 | 702 |
| 177 and 74 | 13098 |
| 109 and 108 | 11772 |
| 49 and 32 | 1568 |