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 |
|---|---|
| 120 and 177 | 7080 |
| 170 and 138 | 11730 |
| 93 and 198 | 6138 |
| 158 and 11 | 1738 |
| 177 and 156 | 9204 |