Least Common Multiple (LCM) of 142 and 81
The least common multiple (LCM) of 142 and 81 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 142 and 81?
First, calculate the GCD of 142 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 81 = 1 remainder 61 |
| 2 | 81 ÷ 61 = 1 remainder 20 |
| 3 | 61 ÷ 20 = 3 remainder 1 |
| 4 | 20 ÷ 1 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 15 | 75 |
| 19 and 75 | 1425 |
| 120 and 20 | 120 |
| 45 and 156 | 2340 |
| 178 and 10 | 890 |