Least Common Multiple (LCM) of 196 and 95
The least common multiple (LCM) of 196 and 95 is 18620.
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 196 and 95?
First, calculate the GCD of 196 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 95 = 2 remainder 6 |
| 2 | 95 ÷ 6 = 15 remainder 5 |
| 3 | 6 ÷ 5 = 1 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 51 | 5865 |
| 30 and 192 | 960 |
| 174 and 185 | 32190 |
| 78 and 54 | 702 |
| 99 and 117 | 1287 |