Least Common Multiple (LCM) of 141 and 80
The least common multiple (LCM) of 141 and 80 is 11280.
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 141 and 80?
First, calculate the GCD of 141 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 80 = 1 remainder 61 |
| 2 | 80 ÷ 61 = 1 remainder 19 |
| 3 | 61 ÷ 19 = 3 remainder 4 |
| 4 | 19 ÷ 4 = 4 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 126 | 126 |
| 54 and 12 | 108 |
| 143 and 135 | 19305 |
| 38 and 125 | 4750 |
| 55 and 77 | 385 |