Least Common Multiple (LCM) of 40 and 179
The least common multiple (LCM) of 40 and 179 is 7160.
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 40 and 179?
First, calculate the GCD of 40 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 40 ÷ 179 = 0 remainder 40 |
| 2 | 179 ÷ 40 = 4 remainder 19 |
| 3 | 40 ÷ 19 = 2 remainder 2 |
| 4 | 19 ÷ 2 = 9 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 85 | 170 |
| 177 and 149 | 26373 |
| 44 and 183 | 8052 |
| 132 and 98 | 6468 |
| 171 and 142 | 24282 |