Least Common Multiple (LCM) of 143 and 181
The least common multiple (LCM) of 143 and 181 is 25883.
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 181?
First, calculate the GCD of 143 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 181 = 0 remainder 143 |
| 2 | 181 ÷ 143 = 1 remainder 38 |
| 3 | 143 ÷ 38 = 3 remainder 29 |
| 4 | 38 ÷ 29 = 1 remainder 9 |
| 5 | 29 ÷ 9 = 3 remainder 2 |
| 6 | 9 ÷ 2 = 4 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 95 and 178 | 16910 |
| 179 and 182 | 32578 |
| 55 and 48 | 2640 |
| 186 and 186 | 186 |
| 69 and 86 | 5934 |