Least Common Multiple (LCM) of 184 and 38
The least common multiple (LCM) of 184 and 38 is 3496.
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 38?
First, calculate the GCD of 184 and 38 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 38 = 4 remainder 32 |
| 2 | 38 ÷ 32 = 1 remainder 6 |
| 3 | 32 ÷ 6 = 5 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 170 | 10540 |
| 195 and 29 | 5655 |
| 17 and 71 | 1207 |
| 186 and 22 | 2046 |
| 88 and 152 | 1672 |