Least Common Multiple (LCM) of 18 and 184
The least common multiple (LCM) of 18 and 184 is 1656.
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 18 and 184?
First, calculate the GCD of 18 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 18 ÷ 184 = 0 remainder 18 |
| 2 | 184 ÷ 18 = 10 remainder 4 |
| 3 | 18 ÷ 4 = 4 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 58 | 8874 |
| 89 and 87 | 7743 |
| 172 and 143 | 24596 |
| 113 and 71 | 8023 |
| 135 and 122 | 16470 |