Least Common Multiple (LCM) of 171 and 179
The least common multiple (LCM) of 171 and 179 is 30609.
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 171 and 179?
First, calculate the GCD of 171 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 179 = 0 remainder 171 |
| 2 | 179 ÷ 171 = 1 remainder 8 |
| 3 | 171 ÷ 8 = 21 remainder 3 |
| 4 | 8 ÷ 3 = 2 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 28 | 1932 |
| 57 and 162 | 3078 |
| 26 and 22 | 286 |
| 20 and 23 | 460 |
| 147 and 123 | 6027 |