Least Common Multiple (LCM) of 104 and 40
The least common multiple (LCM) of 104 and 40 is 520.
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 40?
First, calculate the GCD of 104 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 40 = 2 remainder 24 |
| 2 | 40 ÷ 24 = 1 remainder 16 |
| 3 | 24 ÷ 16 = 1 remainder 8 |
| 4 | 16 ÷ 8 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 26 and 89 | 2314 |
| 111 and 68 | 7548 |
| 56 and 30 | 840 |
| 25 and 33 | 825 |
| 181 and 163 | 29503 |