Least Common Multiple (LCM) of 55 and 86
The least common multiple (LCM) of 55 and 86 is 4730.
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 55 and 86?
First, calculate the GCD of 55 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 55 ÷ 86 = 0 remainder 55 |
| 2 | 86 ÷ 55 = 1 remainder 31 |
| 3 | 55 ÷ 31 = 1 remainder 24 |
| 4 | 31 ÷ 24 = 1 remainder 7 |
| 5 | 24 ÷ 7 = 3 remainder 3 |
| 6 | 7 ÷ 3 = 2 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 96 and 174 | 2784 |
| 13 and 103 | 1339 |
| 148 and 103 | 15244 |
| 71 and 22 | 1562 |
| 65 and 156 | 780 |