Least Common Multiple (LCM) of 181 and 104
The least common multiple (LCM) of 181 and 104 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 181 and 104?
First, calculate the GCD of 181 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 104 = 1 remainder 77 |
| 2 | 104 ÷ 77 = 1 remainder 27 |
| 3 | 77 ÷ 27 = 2 remainder 23 |
| 4 | 27 ÷ 23 = 1 remainder 4 |
| 5 | 23 ÷ 4 = 5 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 72 and 170 | 6120 |
| 175 and 14 | 350 |
| 28 and 175 | 700 |
| 63 and 192 | 4032 |
| 68 and 116 | 1972 |