Least Common Multiple (LCM) of 178 and 184
The least common multiple (LCM) of 178 and 184 is 16376.
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 178 and 184?
First, calculate the GCD of 178 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 184 = 0 remainder 178 |
| 2 | 184 ÷ 178 = 1 remainder 6 |
| 3 | 178 ÷ 6 = 29 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 114 | 6270 |
| 44 and 117 | 5148 |
| 149 and 68 | 10132 |
| 16 and 44 | 176 |
| 164 and 111 | 18204 |