Least Common Multiple (LCM) of 82 and 56
The least common multiple (LCM) of 82 and 56 is 2296.
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 82 and 56?
First, calculate the GCD of 82 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 82 ÷ 56 = 1 remainder 26 |
| 2 | 56 ÷ 26 = 2 remainder 4 |
| 3 | 26 ÷ 4 = 6 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 107 | 17655 |
| 172 and 161 | 27692 |
| 99 and 103 | 10197 |
| 59 and 160 | 9440 |
| 159 and 156 | 8268 |