Least Common Multiple (LCM) of 56 and 86
The least common multiple (LCM) of 56 and 86 is 2408.
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 56 and 86?
First, calculate the GCD of 56 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 56 ÷ 86 = 0 remainder 56 |
| 2 | 86 ÷ 56 = 1 remainder 30 |
| 3 | 56 ÷ 30 = 1 remainder 26 |
| 4 | 30 ÷ 26 = 1 remainder 4 |
| 5 | 26 ÷ 4 = 6 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 88 | 1496 |
| 119 and 101 | 12019 |
| 14 and 37 | 518 |
| 149 and 17 | 2533 |
| 131 and 54 | 7074 |