Least Common Multiple (LCM) of 181 and 143
The least common multiple (LCM) of 181 and 143 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 181 and 143?
First, calculate the GCD of 181 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 143 = 1 remainder 38 |
| 2 | 143 ÷ 38 = 3 remainder 29 |
| 3 | 38 ÷ 29 = 1 remainder 9 |
| 4 | 29 ÷ 9 = 3 remainder 2 |
| 5 | 9 ÷ 2 = 4 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 163 | 26406 |
| 146 and 149 | 21754 |
| 63 and 170 | 10710 |
| 148 and 52 | 1924 |
| 147 and 125 | 18375 |