Least Common Multiple (LCM) of 25 and 50
The least common multiple (LCM) of 25 and 50 is 50.
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 25 and 50?
First, calculate the GCD of 25 and 50 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 25 ÷ 50 = 0 remainder 25 |
| 2 | 50 ÷ 25 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 106 | 2226 |
| 54 and 128 | 3456 |
| 83 and 124 | 10292 |
| 200 and 56 | 1400 |
| 67 and 44 | 2948 |