Least Common Multiple (LCM) of 28 and 86
The least common multiple (LCM) of 28 and 86 is 1204.
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 86?
First, calculate the GCD of 28 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 28 ÷ 86 = 0 remainder 28 |
| 2 | 86 ÷ 28 = 3 remainder 2 |
| 3 | 28 ÷ 2 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 113 | 18758 |
| 84 and 22 | 924 |
| 194 and 127 | 24638 |
| 172 and 42 | 3612 |
| 54 and 162 | 162 |