Least Common Multiple (LCM) of 82 and 179
The least common multiple (LCM) of 82 and 179 is 14678.
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 82 and 179?
First, calculate the GCD of 82 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 82 ÷ 179 = 0 remainder 82 |
| 2 | 179 ÷ 82 = 2 remainder 15 |
| 3 | 82 ÷ 15 = 5 remainder 7 |
| 4 | 15 ÷ 7 = 2 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 110 | 7920 |
| 141 and 129 | 6063 |
| 63 and 131 | 8253 |
| 192 and 179 | 34368 |
| 172 and 61 | 10492 |