Least Common Multiple (LCM) of 95 and 192
The least common multiple (LCM) of 95 and 192 is 18240.
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 192?
First, calculate the GCD of 95 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 192 = 0 remainder 95 |
| 2 | 192 ÷ 95 = 2 remainder 2 |
| 3 | 95 ÷ 2 = 47 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 83 | 9628 |
| 108 and 158 | 8532 |
| 154 and 178 | 13706 |
| 197 and 187 | 36839 |
| 39 and 37 | 1443 |