Least Common Multiple (LCM) of 80 and 183
The least common multiple (LCM) of 80 and 183 is 14640.
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 183?
First, calculate the GCD of 80 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 80 ÷ 183 = 0 remainder 80 |
| 2 | 183 ÷ 80 = 2 remainder 23 |
| 3 | 80 ÷ 23 = 3 remainder 11 |
| 4 | 23 ÷ 11 = 2 remainder 1 |
| 5 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 131 and 13 | 1703 |
| 188 and 54 | 5076 |
| 153 and 33 | 1683 |
| 115 and 89 | 10235 |
| 200 and 97 | 19400 |