Least Common Multiple (LCM) of 184 and 67
The least common multiple (LCM) of 184 and 67 is 12328.
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 184 and 67?
First, calculate the GCD of 184 and 67 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 67 = 2 remainder 50 |
| 2 | 67 ÷ 50 = 1 remainder 17 |
| 3 | 50 ÷ 17 = 2 remainder 16 |
| 4 | 17 ÷ 16 = 1 remainder 1 |
| 5 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 20 | 860 |
| 20 and 83 | 1660 |
| 189 and 101 | 19089 |
| 155 and 125 | 3875 |
| 85 and 141 | 11985 |