Least Common Multiple (LCM) of 179 and 161
The least common multiple (LCM) of 179 and 161 is 28819.
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 161?
First, calculate the GCD of 179 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 161 = 1 remainder 18 |
| 2 | 161 ÷ 18 = 8 remainder 17 |
| 3 | 18 ÷ 17 = 1 remainder 1 |
| 4 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 198 | 1980 |
| 41 and 109 | 4469 |
| 68 and 113 | 7684 |
| 156 and 140 | 5460 |
| 160 and 65 | 2080 |