Least Common Multiple (LCM) of 168 and 184
The least common multiple (LCM) of 168 and 184 is 3864.
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 168 and 184?
First, calculate the GCD of 168 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 184 = 0 remainder 168 |
| 2 | 184 ÷ 168 = 1 remainder 16 |
| 3 | 168 ÷ 16 = 10 remainder 8 |
| 4 | 16 ÷ 8 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 123 | 21156 |
| 69 and 46 | 138 |
| 38 and 110 | 2090 |
| 40 and 88 | 440 |
| 22 and 68 | 748 |