Least Common Multiple (LCM) of 170 and 179
The least common multiple (LCM) of 170 and 179 is 30430.
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 170 and 179?
First, calculate the GCD of 170 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 179 = 0 remainder 170 |
| 2 | 179 ÷ 170 = 1 remainder 9 |
| 3 | 170 ÷ 9 = 18 remainder 8 |
| 4 | 9 ÷ 8 = 1 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 82 | 14022 |
| 142 and 20 | 1420 |
| 77 and 171 | 13167 |
| 131 and 77 | 10087 |
| 110 and 11 | 110 |