Least Common Multiple (LCM) of 176 and 184
The least common multiple (LCM) of 176 and 184 is 4048.
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 176 and 184?
First, calculate the GCD of 176 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 184 = 0 remainder 176 |
| 2 | 184 ÷ 176 = 1 remainder 8 |
| 3 | 176 ÷ 8 = 22 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 69 | 4485 |
| 61 and 109 | 6649 |
| 117 and 27 | 351 |
| 187 and 182 | 34034 |
| 174 and 105 | 6090 |