Least Common Multiple (LCM) of 28 and 83
The least common multiple (LCM) of 28 and 83 is 2324.
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 83?
First, calculate the GCD of 28 and 83 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 28 ÷ 83 = 0 remainder 28 |
| 2 | 83 ÷ 28 = 2 remainder 27 |
| 3 | 28 ÷ 27 = 1 remainder 1 |
| 4 | 27 ÷ 1 = 27 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 194 and 74 | 7178 |
| 84 and 76 | 1596 |
| 134 and 64 | 4288 |
| 69 and 110 | 7590 |
| 12 and 75 | 300 |