Least Common Multiple (LCM) of 191 and 140
The least common multiple (LCM) of 191 and 140 is 26740.
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 140?
First, calculate the GCD of 191 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 140 = 1 remainder 51 |
| 2 | 140 ÷ 51 = 2 remainder 38 |
| 3 | 51 ÷ 38 = 1 remainder 13 |
| 4 | 38 ÷ 13 = 2 remainder 12 |
| 5 | 13 ÷ 12 = 1 remainder 1 |
| 6 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 148 | 1036 |
| 108 and 114 | 2052 |
| 118 and 142 | 8378 |
| 142 and 112 | 7952 |
| 163 and 194 | 31622 |