Least Common Multiple (LCM) of 143 and 194
The least common multiple (LCM) of 143 and 194 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 143 and 194?
First, calculate the GCD of 143 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 194 = 0 remainder 143 |
| 2 | 194 ÷ 143 = 1 remainder 51 |
| 3 | 143 ÷ 51 = 2 remainder 41 |
| 4 | 51 ÷ 41 = 1 remainder 10 |
| 5 | 41 ÷ 10 = 4 remainder 1 |
| 6 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 40 and 129 | 5160 |
| 68 and 43 | 2924 |
| 157 and 111 | 17427 |
| 153 and 82 | 12546 |
| 99 and 86 | 8514 |