Least Common Multiple (LCM) of 107 and 104
The least common multiple (LCM) of 107 and 104 is 11128.
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 107 and 104?
First, calculate the GCD of 107 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 107 ÷ 104 = 1 remainder 3 |
| 2 | 104 ÷ 3 = 34 remainder 2 |
| 3 | 3 ÷ 2 = 1 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 23 | 2346 |
| 131 and 153 | 20043 |
| 168 and 198 | 5544 |
| 101 and 25 | 2525 |
| 86 and 78 | 3354 |