Least Common Multiple (LCM) of 18 and 80
The least common multiple (LCM) of 18 and 80 is 720.
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 18 and 80?
First, calculate the GCD of 18 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 18 ÷ 80 = 0 remainder 18 |
| 2 | 80 ÷ 18 = 4 remainder 8 |
| 3 | 18 ÷ 8 = 2 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 82 | 1476 |
| 191 and 142 | 27122 |
| 102 and 74 | 3774 |
| 175 and 143 | 25025 |
| 84 and 164 | 3444 |