Least Common Multiple (LCM) of 104 and 116
The least common multiple (LCM) of 104 and 116 is 3016.
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 116?
First, calculate the GCD of 104 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 116 = 0 remainder 104 |
| 2 | 116 ÷ 104 = 1 remainder 12 |
| 3 | 104 ÷ 12 = 8 remainder 8 |
| 4 | 12 ÷ 8 = 1 remainder 4 |
| 5 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 128 | 3456 |
| 160 and 46 | 3680 |
| 198 and 121 | 2178 |
| 30 and 158 | 2370 |
| 128 and 55 | 7040 |