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 |
|---|---|
| 188 and 13 | 2444 |
| 54 and 106 | 2862 |
| 53 and 88 | 4664 |
| 43 and 76 | 3268 |
| 66 and 87 | 1914 |