Least Common Multiple (LCM) of 104 and 54
The least common multiple (LCM) of 104 and 54 is 2808.
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 54?
First, calculate the GCD of 104 and 54 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 54 = 1 remainder 50 |
| 2 | 54 ÷ 50 = 1 remainder 4 |
| 3 | 50 ÷ 4 = 12 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 68 | 3060 |
| 193 and 41 | 7913 |
| 65 and 91 | 455 |
| 125 and 114 | 14250 |
| 53 and 30 | 1590 |