Least Common Multiple (LCM) of 184 and 68
The least common multiple (LCM) of 184 and 68 is 3128.
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 68?
First, calculate the GCD of 184 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 68 = 2 remainder 48 |
| 2 | 68 ÷ 48 = 1 remainder 20 |
| 3 | 48 ÷ 20 = 2 remainder 8 |
| 4 | 20 ÷ 8 = 2 remainder 4 |
| 5 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 34 and 30 | 510 |
| 106 and 96 | 5088 |
| 88 and 105 | 9240 |
| 52 and 73 | 3796 |
| 175 and 88 | 15400 |