Least Common Multiple (LCM) of 179 and 46
The least common multiple (LCM) of 179 and 46 is 8234.
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 46?
First, calculate the GCD of 179 and 46 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 46 = 3 remainder 41 |
| 2 | 46 ÷ 41 = 1 remainder 5 |
| 3 | 41 ÷ 5 = 8 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 30 | 330 |
| 87 and 165 | 4785 |
| 133 and 27 | 3591 |
| 96 and 91 | 8736 |
| 172 and 26 | 2236 |