Least Common Multiple (LCM) of 104 and 105
The least common multiple (LCM) of 104 and 105 is 10920.
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 105?
First, calculate the GCD of 104 and 105 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 105 = 0 remainder 104 |
| 2 | 105 ÷ 104 = 1 remainder 1 |
| 3 | 104 ÷ 1 = 104 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 84 and 109 | 9156 |
| 176 and 49 | 8624 |
| 103 and 74 | 7622 |
| 159 and 110 | 17490 |
| 31 and 131 | 4061 |