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 |
|---|---|
| 146 and 162 | 11826 |
| 176 and 142 | 12496 |
| 188 and 107 | 20116 |
| 175 and 59 | 10325 |
| 189 and 39 | 2457 |