Least Common Multiple (LCM) of 179 and 80
The least common multiple (LCM) of 179 and 80 is 14320.
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 80?
First, calculate the GCD of 179 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 80 = 2 remainder 19 |
| 2 | 80 ÷ 19 = 4 remainder 4 |
| 3 | 19 ÷ 4 = 4 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 155 | 15965 |
| 26 and 146 | 1898 |
| 35 and 147 | 735 |
| 159 and 169 | 26871 |
| 143 and 24 | 3432 |