Least Common Multiple (LCM) of 125 and 104
The least common multiple (LCM) of 125 and 104 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 125 and 104?
First, calculate the GCD of 125 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 104 = 1 remainder 21 |
| 2 | 104 ÷ 21 = 4 remainder 20 |
| 3 | 21 ÷ 20 = 1 remainder 1 |
| 4 | 20 ÷ 1 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 89 | 9701 |
| 200 and 98 | 9800 |
| 37 and 55 | 2035 |
| 80 and 138 | 5520 |
| 188 and 159 | 29892 |