Least Common Multiple (LCM) of 96 and 95
The least common multiple (LCM) of 96 and 95 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 96 and 95?
First, calculate the GCD of 96 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 96 ÷ 95 = 1 remainder 1 |
| 2 | 95 ÷ 1 = 95 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 150 | 13350 |
| 32 and 125 | 4000 |
| 69 and 130 | 8970 |
| 196 and 187 | 36652 |
| 158 and 167 | 26386 |