Least Common Multiple (LCM) of 108 and 96
The least common multiple (LCM) of 108 and 96 is 864.
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 108 and 96?
First, calculate the GCD of 108 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 108 ÷ 96 = 1 remainder 12 |
| 2 | 96 ÷ 12 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 163 and 191 | 31133 |
| 53 and 21 | 1113 |
| 36 and 79 | 2844 |
| 180 and 154 | 13860 |
| 121 and 104 | 12584 |