Least Common Multiple (LCM) of 80 and 143
The least common multiple (LCM) of 80 and 143 is 11440.
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 80 and 143?
First, calculate the GCD of 80 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 80 ÷ 143 = 0 remainder 80 |
| 2 | 143 ÷ 80 = 1 remainder 63 |
| 3 | 80 ÷ 63 = 1 remainder 17 |
| 4 | 63 ÷ 17 = 3 remainder 12 |
| 5 | 17 ÷ 12 = 1 remainder 5 |
| 6 | 12 ÷ 5 = 2 remainder 2 |
| 7 | 5 ÷ 2 = 2 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 38 | 2014 |
| 179 and 54 | 9666 |
| 127 and 196 | 24892 |
| 14 and 41 | 574 |
| 91 and 28 | 364 |