Least Common Multiple (LCM) of 181 and 184
The least common multiple (LCM) of 181 and 184 is 33304.
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 184?
First, calculate the GCD of 181 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 184 = 0 remainder 181 |
| 2 | 184 ÷ 181 = 1 remainder 3 |
| 3 | 181 ÷ 3 = 60 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 71 | 13419 |
| 74 and 175 | 12950 |
| 21 and 152 | 3192 |
| 109 and 95 | 10355 |
| 101 and 161 | 16261 |