Least Common Multiple (LCM) of 28 and 82
The least common multiple (LCM) of 28 and 82 is 1148.
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 28 and 82?
First, calculate the GCD of 28 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 28 ÷ 82 = 0 remainder 28 |
| 2 | 82 ÷ 28 = 2 remainder 26 |
| 3 | 28 ÷ 26 = 1 remainder 2 |
| 4 | 26 ÷ 2 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 30 | 390 |
| 44 and 31 | 1364 |
| 101 and 162 | 16362 |
| 104 and 10 | 520 |
| 64 and 183 | 11712 |