Least Common Multiple (LCM) of 191 and 143
The least common multiple (LCM) of 191 and 143 is 27313.
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 143?
First, calculate the GCD of 191 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 143 = 1 remainder 48 |
| 2 | 143 ÷ 48 = 2 remainder 47 |
| 3 | 48 ÷ 47 = 1 remainder 1 |
| 4 | 47 ÷ 1 = 47 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 61 and 101 | 6161 |
| 33 and 82 | 2706 |
| 90 and 182 | 8190 |
| 134 and 78 | 5226 |
| 36 and 145 | 5220 |