Least Common Multiple (LCM) of 63 and 86
The least common multiple (LCM) of 63 and 86 is 5418.
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 63 and 86?
First, calculate the GCD of 63 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 63 ÷ 86 = 0 remainder 63 |
| 2 | 86 ÷ 63 = 1 remainder 23 |
| 3 | 63 ÷ 23 = 2 remainder 17 |
| 4 | 23 ÷ 17 = 1 remainder 6 |
| 5 | 17 ÷ 6 = 2 remainder 5 |
| 6 | 6 ÷ 5 = 1 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 177 | 7965 |
| 68 and 29 | 1972 |
| 34 and 77 | 2618 |
| 150 and 21 | 1050 |
| 91 and 39 | 273 |