Least Common Multiple (LCM) of 104 and 133
The least common multiple (LCM) of 104 and 133 is 13832.
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 133?
First, calculate the GCD of 104 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 133 = 0 remainder 104 |
| 2 | 133 ÷ 104 = 1 remainder 29 |
| 3 | 104 ÷ 29 = 3 remainder 17 |
| 4 | 29 ÷ 17 = 1 remainder 12 |
| 5 | 17 ÷ 12 = 1 remainder 5 |
| 6 | 12 ÷ 5 = 2 remainder 2 |
| 7 | 5 ÷ 2 = 2 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 82 and 25 | 2050 |
| 16 and 148 | 592 |
| 107 and 48 | 5136 |
| 161 and 85 | 13685 |
| 46 and 28 | 644 |