Least Common Multiple (LCM) of 95 and 96
The least common multiple (LCM) of 95 and 96 is 9120.
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 96?
First, calculate the GCD of 95 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 96 = 0 remainder 95 |
| 2 | 96 ÷ 95 = 1 remainder 1 |
| 3 | 95 ÷ 1 = 95 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 102 | 4386 |
| 184 and 67 | 12328 |
| 148 and 120 | 4440 |
| 92 and 199 | 18308 |
| 105 and 187 | 19635 |