Least Common Multiple (LCM) of 104 and 181
The least common multiple (LCM) of 104 and 181 is 18824.
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 181?
First, calculate the GCD of 104 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 181 = 0 remainder 104 |
| 2 | 181 ÷ 104 = 1 remainder 77 |
| 3 | 104 ÷ 77 = 1 remainder 27 |
| 4 | 77 ÷ 27 = 2 remainder 23 |
| 5 | 27 ÷ 23 = 1 remainder 4 |
| 6 | 23 ÷ 4 = 5 remainder 3 |
| 7 | 4 ÷ 3 = 1 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 74 and 70 | 2590 |
| 176 and 106 | 9328 |
| 120 and 91 | 10920 |
| 194 and 62 | 6014 |
| 45 and 57 | 855 |