Least Common Multiple (LCM) of 25 and 19
The least common multiple (LCM) of 25 and 19 is 475.
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 19?
First, calculate the GCD of 25 and 19 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 25 ÷ 19 = 1 remainder 6 |
| 2 | 19 ÷ 6 = 3 remainder 1 |
| 3 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 194 | 33950 |
| 20 and 48 | 240 |
| 66 and 115 | 7590 |
| 16 and 131 | 2096 |
| 135 and 77 | 10395 |