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 |
|---|---|
| 112 and 64 | 448 |
| 167 and 90 | 15030 |
| 113 and 140 | 15820 |
| 35 and 90 | 630 |
| 115 and 163 | 18745 |