Least Common Multiple (LCM) of 191 and 142
The least common multiple (LCM) of 191 and 142 is 27122.
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 142?
First, calculate the GCD of 191 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 142 = 1 remainder 49 |
| 2 | 142 ÷ 49 = 2 remainder 44 |
| 3 | 49 ÷ 44 = 1 remainder 5 |
| 4 | 44 ÷ 5 = 8 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 39 and 168 | 2184 |
| 162 and 83 | 13446 |
| 29 and 135 | 3915 |
| 82 and 185 | 15170 |
| 177 and 188 | 33276 |