Least Common Multiple (LCM) of 66 and 86
The least common multiple (LCM) of 66 and 86 is 2838.
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 66 and 86?
First, calculate the GCD of 66 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 66 ÷ 86 = 0 remainder 66 |
| 2 | 86 ÷ 66 = 1 remainder 20 |
| 3 | 66 ÷ 20 = 3 remainder 6 |
| 4 | 20 ÷ 6 = 3 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 78 and 44 | 1716 |
| 54 and 13 | 702 |
| 157 and 69 | 10833 |
| 176 and 78 | 6864 |
| 119 and 41 | 4879 |