Least Common Multiple (LCM) of 80 and 27
The least common multiple (LCM) of 80 and 27 is 2160.
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 27?
First, calculate the GCD of 80 and 27 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 80 ÷ 27 = 2 remainder 26 |
| 2 | 27 ÷ 26 = 1 remainder 1 |
| 3 | 26 ÷ 1 = 26 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 85 and 34 | 170 |
| 117 and 11 | 1287 |
| 157 and 141 | 22137 |
| 117 and 196 | 22932 |
| 190 and 116 | 11020 |