Least Common Multiple (LCM) of 95 and 115
The least common multiple (LCM) of 95 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 95 and 115?
First, calculate the GCD of 95 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 115 = 0 remainder 95 |
| 2 | 115 ÷ 95 = 1 remainder 20 |
| 3 | 95 ÷ 20 = 4 remainder 15 |
| 4 | 20 ÷ 15 = 1 remainder 5 |
| 5 | 15 ÷ 5 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 105 | 3570 |
| 166 and 19 | 3154 |
| 55 and 199 | 10945 |
| 41 and 58 | 2378 |
| 45 and 197 | 8865 |