Least Common Multiple (LCM) of 81 and 142
The least common multiple (LCM) of 81 and 142 is 11502.
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 142?
First, calculate the GCD of 81 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 81 ÷ 142 = 0 remainder 81 |
| 2 | 142 ÷ 81 = 1 remainder 61 |
| 3 | 81 ÷ 61 = 1 remainder 20 |
| 4 | 61 ÷ 20 = 3 remainder 1 |
| 5 | 20 ÷ 1 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 93 and 169 | 15717 |
| 19 and 137 | 2603 |
| 157 and 109 | 17113 |
| 111 and 45 | 1665 |
| 172 and 183 | 31476 |