Least Common Multiple (LCM) of 179 and 185
The least common multiple (LCM) of 179 and 185 is 33115.
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 185?
First, calculate the GCD of 179 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 185 = 0 remainder 179 |
| 2 | 185 ÷ 179 = 1 remainder 6 |
| 3 | 179 ÷ 6 = 29 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 40 | 6280 |
| 34 and 118 | 2006 |
| 199 and 102 | 20298 |
| 171 and 32 | 5472 |
| 88 and 40 | 440 |