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 |
|---|---|
| 169 and 105 | 17745 |
| 123 and 131 | 16113 |
| 122 and 196 | 11956 |
| 106 and 186 | 9858 |
| 29 and 81 | 2349 |