Least Common Multiple (LCM) of 181 and 187
The least common multiple (LCM) of 181 and 187 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 181 and 187?
First, calculate the GCD of 181 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 187 = 0 remainder 181 |
| 2 | 187 ÷ 181 = 1 remainder 6 |
| 3 | 181 ÷ 6 = 30 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 171 | 30438 |
| 51 and 49 | 2499 |
| 150 and 92 | 6900 |
| 69 and 36 | 828 |
| 113 and 75 | 8475 |