Least Common Multiple (LCM) of 179 and 92
The least common multiple (LCM) of 179 and 92 is 16468.
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 92?
First, calculate the GCD of 179 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 92 = 1 remainder 87 |
| 2 | 92 ÷ 87 = 1 remainder 5 |
| 3 | 87 ÷ 5 = 17 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 97 and 15 | 1455 |
| 187 and 92 | 17204 |
| 61 and 55 | 3355 |
| 115 and 170 | 3910 |
| 49 and 71 | 3479 |