Least Common Multiple (LCM) of 140 and 191
The least common multiple (LCM) of 140 and 191 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 140 and 191?
First, calculate the GCD of 140 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 191 = 0 remainder 140 |
| 2 | 191 ÷ 140 = 1 remainder 51 |
| 3 | 140 ÷ 51 = 2 remainder 38 |
| 4 | 51 ÷ 38 = 1 remainder 13 |
| 5 | 38 ÷ 13 = 2 remainder 12 |
| 6 | 13 ÷ 12 = 1 remainder 1 |
| 7 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 69 and 77 | 5313 |
| 199 and 194 | 38606 |
| 196 and 178 | 17444 |
| 181 and 77 | 13937 |
| 117 and 106 | 12402 |