Least Common Multiple (LCM) of 179 and 194
The least common multiple (LCM) of 179 and 194 is 34726.
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 194?
First, calculate the GCD of 179 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 194 = 0 remainder 179 |
| 2 | 194 ÷ 179 = 1 remainder 15 |
| 3 | 179 ÷ 15 = 11 remainder 14 |
| 4 | 15 ÷ 14 = 1 remainder 1 |
| 5 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 16 | 880 |
| 28 and 179 | 5012 |
| 178 and 109 | 19402 |
| 140 and 84 | 420 |
| 40 and 108 | 1080 |