Least Common Multiple (LCM) of 179 and 184
The least common multiple (LCM) of 179 and 184 is 32936.
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 179 and 184?
First, calculate the GCD of 179 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 184 = 0 remainder 179 |
| 2 | 184 ÷ 179 = 1 remainder 5 |
| 3 | 179 ÷ 5 = 35 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 195 | 22620 |
| 137 and 75 | 10275 |
| 177 and 137 | 24249 |
| 85 and 102 | 510 |
| 75 and 115 | 1725 |