Least Common Multiple (LCM) of 179 and 50
The least common multiple (LCM) of 179 and 50 is 8950.
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 50?
First, calculate the GCD of 179 and 50 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 50 = 3 remainder 29 |
| 2 | 50 ÷ 29 = 1 remainder 21 |
| 3 | 29 ÷ 21 = 1 remainder 8 |
| 4 | 21 ÷ 8 = 2 remainder 5 |
| 5 | 8 ÷ 5 = 1 remainder 3 |
| 6 | 5 ÷ 3 = 1 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 182 and 177 | 32214 |
| 110 and 177 | 19470 |
| 140 and 68 | 2380 |
| 117 and 41 | 4797 |
| 106 and 120 | 6360 |