Least Common Multiple (LCM) of 179 and 163
The least common multiple (LCM) of 179 and 163 is 29177.
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 163?
First, calculate the GCD of 179 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 163 = 1 remainder 16 |
| 2 | 163 ÷ 16 = 10 remainder 3 |
| 3 | 16 ÷ 3 = 5 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 67 and 73 | 4891 |
| 31 and 145 | 4495 |
| 119 and 105 | 1785 |
| 66 and 129 | 2838 |
| 179 and 81 | 14499 |