Least Common Multiple (LCM) of 194 and 143
The least common multiple (LCM) of 194 and 143 is 27742.
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 194 and 143?
First, calculate the GCD of 194 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 143 = 1 remainder 51 |
| 2 | 143 ÷ 51 = 2 remainder 41 |
| 3 | 51 ÷ 41 = 1 remainder 10 |
| 4 | 41 ÷ 10 = 4 remainder 1 |
| 5 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 43 | 7654 |
| 46 and 131 | 6026 |
| 123 and 86 | 10578 |
| 43 and 47 | 2021 |
| 69 and 105 | 2415 |