Least Common Multiple (LCM) of 104 and 96
The least common multiple (LCM) of 104 and 96 is 1248.
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 104 and 96?
First, calculate the GCD of 104 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 96 = 1 remainder 8 |
| 2 | 96 ÷ 8 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 76 and 99 | 7524 |
| 71 and 79 | 5609 |
| 112 and 31 | 3472 |
| 147 and 52 | 7644 |
| 121 and 99 | 1089 |