Least Common Multiple (LCM) of 179 and 44
The least common multiple (LCM) of 179 and 44 is 7876.
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 44?
First, calculate the GCD of 179 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 44 = 4 remainder 3 |
| 2 | 44 ÷ 3 = 14 remainder 2 |
| 3 | 3 ÷ 2 = 1 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 169 | 3380 |
| 162 and 192 | 5184 |
| 189 and 85 | 16065 |
| 118 and 143 | 16874 |
| 180 and 82 | 7380 |