Least Common Multiple (LCM) of 11 and 25
The least common multiple (LCM) of 11 and 25 is 275.
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 11 and 25?
First, calculate the GCD of 11 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 11 ÷ 25 = 0 remainder 11 |
| 2 | 25 ÷ 11 = 2 remainder 3 |
| 3 | 11 ÷ 3 = 3 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 194 and 158 | 15326 |
| 34 and 63 | 2142 |
| 146 and 116 | 8468 |
| 196 and 118 | 11564 |
| 177 and 200 | 35400 |