Least Common Multiple (LCM) of 81 and 143
The least common multiple (LCM) of 81 and 143 is 11583.
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 81 and 143?
First, calculate the GCD of 81 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 81 ÷ 143 = 0 remainder 81 |
| 2 | 143 ÷ 81 = 1 remainder 62 |
| 3 | 81 ÷ 62 = 1 remainder 19 |
| 4 | 62 ÷ 19 = 3 remainder 5 |
| 5 | 19 ÷ 5 = 3 remainder 4 |
| 6 | 5 ÷ 4 = 1 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 67 and 33 | 2211 |
| 53 and 37 | 1961 |
| 81 and 87 | 2349 |
| 184 and 93 | 17112 |
| 63 and 178 | 11214 |