Least Common Multiple (LCM) of 161 and 179
The least common multiple (LCM) of 161 and 179 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 161 and 179?
First, calculate the GCD of 161 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 179 = 0 remainder 161 |
| 2 | 179 ÷ 161 = 1 remainder 18 |
| 3 | 161 ÷ 18 = 8 remainder 17 |
| 4 | 18 ÷ 17 = 1 remainder 1 |
| 5 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 27 | 4725 |
| 84 and 93 | 2604 |
| 85 and 31 | 2635 |
| 112 and 28 | 112 |
| 85 and 72 | 6120 |