Least Common Multiple (LCM) of 180 and 194
The least common multiple (LCM) of 180 and 194 is 17460.
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 180 and 194?
First, calculate the GCD of 180 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 180 ÷ 194 = 0 remainder 180 |
| 2 | 194 ÷ 180 = 1 remainder 14 |
| 3 | 180 ÷ 14 = 12 remainder 12 |
| 4 | 14 ÷ 12 = 1 remainder 2 |
| 5 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 102 | 714 |
| 29 and 19 | 551 |
| 176 and 49 | 8624 |
| 177 and 199 | 35223 |
| 178 and 93 | 16554 |