Least Common Multiple (LCM) of 28 and 25
The least common multiple (LCM) of 28 and 25 is 700.
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 25?
First, calculate the GCD of 28 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 28 ÷ 25 = 1 remainder 3 |
| 2 | 25 ÷ 3 = 8 remainder 1 |
| 3 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 155 | 3875 |
| 189 and 104 | 19656 |
| 114 and 47 | 5358 |
| 12 and 41 | 492 |
| 103 and 26 | 2678 |