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 |
|---|---|
| 93 and 79 | 7347 |
| 106 and 61 | 6466 |
| 29 and 129 | 3741 |
| 150 and 86 | 6450 |
| 155 and 73 | 11315 |