Least Common Multiple (LCM) of 184 and 176
The least common multiple (LCM) of 184 and 176 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 184 and 176?
First, calculate the GCD of 184 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 176 = 1 remainder 8 |
| 2 | 176 ÷ 8 = 22 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 113 | 19775 |
| 108 and 149 | 16092 |
| 62 and 115 | 7130 |
| 198 and 48 | 1584 |
| 139 and 169 | 23491 |