Least Common Multiple (LCM) of 19 and 115
The least common multiple (LCM) of 19 and 115 is 2185.
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 19 and 115?
First, calculate the GCD of 19 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 19 ÷ 115 = 0 remainder 19 |
| 2 | 115 ÷ 19 = 6 remainder 1 |
| 3 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 41 | 6027 |
| 23 and 67 | 1541 |
| 95 and 69 | 6555 |
| 108 and 120 | 1080 |
| 195 and 148 | 28860 |