Least Common Multiple (LCM) of 28 and 114
The least common multiple (LCM) of 28 and 114 is 1596.
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 114?
First, calculate the GCD of 28 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 28 ÷ 114 = 0 remainder 28 |
| 2 | 114 ÷ 28 = 4 remainder 2 |
| 3 | 28 ÷ 2 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 148 and 71 | 10508 |
| 196 and 173 | 33908 |
| 152 and 192 | 3648 |
| 27 and 70 | 1890 |
| 200 and 99 | 19800 |