Least Common Multiple (LCM) of 168 and 179
The least common multiple (LCM) of 168 and 179 is 30072.
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 168 and 179?
First, calculate the GCD of 168 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 179 = 0 remainder 168 |
| 2 | 179 ÷ 168 = 1 remainder 11 |
| 3 | 168 ÷ 11 = 15 remainder 3 |
| 4 | 11 ÷ 3 = 3 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 10 | 330 |
| 184 and 156 | 7176 |
| 10 and 119 | 1190 |
| 185 and 80 | 2960 |
| 88 and 72 | 792 |