Least Common Multiple (LCM) of 25 and 55
The least common multiple (LCM) of 25 and 55 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 25 and 55?
First, calculate the GCD of 25 and 55 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 25 ÷ 55 = 0 remainder 25 |
| 2 | 55 ÷ 25 = 2 remainder 5 |
| 3 | 25 ÷ 5 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 101 | 10605 |
| 184 and 15 | 2760 |
| 165 and 180 | 1980 |
| 174 and 38 | 3306 |
| 115 and 140 | 3220 |