Least Common Multiple (LCM) of 86 and 56
The least common multiple (LCM) of 86 and 56 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 86 and 56?
First, calculate the GCD of 86 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 86 ÷ 56 = 1 remainder 30 |
| 2 | 56 ÷ 30 = 1 remainder 26 |
| 3 | 30 ÷ 26 = 1 remainder 4 |
| 4 | 26 ÷ 4 = 6 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 106 | 14310 |
| 199 and 172 | 34228 |
| 145 and 17 | 2465 |
| 157 and 33 | 5181 |
| 35 and 138 | 4830 |