Least Common Multiple (LCM) of 179 and 183
The least common multiple (LCM) of 179 and 183 is 32757.
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 183?
First, calculate the GCD of 179 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 183 = 0 remainder 179 |
| 2 | 183 ÷ 179 = 1 remainder 4 |
| 3 | 179 ÷ 4 = 44 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 72 and 172 | 3096 |
| 46 and 107 | 4922 |
| 151 and 75 | 11325 |
| 144 and 185 | 26640 |
| 151 and 178 | 26878 |