Least Common Multiple (LCM) of 181 and 188
The least common multiple (LCM) of 181 and 188 is 34028.
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 188?
First, calculate the GCD of 181 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 188 = 0 remainder 181 |
| 2 | 188 ÷ 181 = 1 remainder 7 |
| 3 | 181 ÷ 7 = 25 remainder 6 |
| 4 | 7 ÷ 6 = 1 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 28 and 199 | 5572 |
| 42 and 67 | 2814 |
| 83 and 199 | 16517 |
| 135 and 12 | 540 |
| 33 and 162 | 1782 |