Least Common Multiple (LCM) of 111 and 25
The least common multiple (LCM) of 111 and 25 is 2775.
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 111 and 25?
First, calculate the GCD of 111 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 111 ÷ 25 = 4 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 |
|---|---|
| 158 and 187 | 29546 |
| 24 and 16 | 48 |
| 169 and 198 | 33462 |
| 107 and 80 | 8560 |
| 140 and 175 | 700 |