Least Common Multiple (LCM) of 187 and 181
The least common multiple (LCM) of 187 and 181 is 33847.
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 187 and 181?
First, calculate the GCD of 187 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 181 = 1 remainder 6 |
| 2 | 181 ÷ 6 = 30 remainder 1 |
| 3 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 135 | 2700 |
| 191 and 121 | 23111 |
| 131 and 60 | 7860 |
| 57 and 108 | 2052 |
| 192 and 80 | 960 |