Least Common Multiple (LCM) of 195 and 115
The least common multiple (LCM) of 195 and 115 is 4485.
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 195 and 115?
First, calculate the GCD of 195 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 115 = 1 remainder 80 |
| 2 | 115 ÷ 80 = 1 remainder 35 |
| 3 | 80 ÷ 35 = 2 remainder 10 |
| 4 | 35 ÷ 10 = 3 remainder 5 |
| 5 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 73 | 11753 |
| 14 and 108 | 756 |
| 72 and 175 | 12600 |
| 14 and 99 | 1386 |
| 97 and 193 | 18721 |