Least Common Multiple (LCM) of 104 and 69
The least common multiple (LCM) of 104 and 69 is 7176.
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 69?
First, calculate the GCD of 104 and 69 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 69 = 1 remainder 35 |
| 2 | 69 ÷ 35 = 1 remainder 34 |
| 3 | 35 ÷ 34 = 1 remainder 1 |
| 4 | 34 ÷ 1 = 34 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 141 | 9024 |
| 117 and 16 | 1872 |
| 78 and 19 | 1482 |
| 200 and 185 | 7400 |
| 45 and 11 | 495 |