Least Common Multiple (LCM) of 181 and 38
The least common multiple (LCM) of 181 and 38 is 6878.
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 38?
First, calculate the GCD of 181 and 38 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 38 = 4 remainder 29 |
| 2 | 38 ÷ 29 = 1 remainder 9 |
| 3 | 29 ÷ 9 = 3 remainder 2 |
| 4 | 9 ÷ 2 = 4 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 23 and 101 | 2323 |
| 175 and 189 | 4725 |
| 113 and 200 | 22600 |
| 161 and 80 | 12880 |
| 149 and 91 | 13559 |