Least Common Multiple (LCM) of 185 and 179
The least common multiple (LCM) of 185 and 179 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 185 and 179?
First, calculate the GCD of 185 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 179 = 1 remainder 6 |
| 2 | 179 ÷ 6 = 29 remainder 5 |
| 3 | 6 ÷ 5 = 1 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 161 | 161 |
| 193 and 170 | 32810 |
| 66 and 172 | 5676 |
| 36 and 117 | 468 |
| 59 and 131 | 7729 |