Least Common Multiple (LCM) of 86 and 179
The least common multiple (LCM) of 86 and 179 is 15394.
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 86 and 179?
First, calculate the GCD of 86 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 86 ÷ 179 = 0 remainder 86 |
| 2 | 179 ÷ 86 = 2 remainder 7 |
| 3 | 86 ÷ 7 = 12 remainder 2 |
| 4 | 7 ÷ 2 = 3 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 63 and 118 | 7434 |
| 104 and 78 | 312 |
| 183 and 66 | 4026 |
| 166 and 198 | 16434 |
| 98 and 19 | 1862 |