Least Common Multiple (LCM) of 104 and 125
The least common multiple (LCM) of 104 and 125 is 13000.
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 125?
First, calculate the GCD of 104 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 125 = 0 remainder 104 |
| 2 | 125 ÷ 104 = 1 remainder 21 |
| 3 | 104 ÷ 21 = 4 remainder 20 |
| 4 | 21 ÷ 20 = 1 remainder 1 |
| 5 | 20 ÷ 1 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 87 | 3741 |
| 135 and 84 | 3780 |
| 15 and 48 | 240 |
| 101 and 199 | 20099 |
| 195 and 77 | 15015 |