Least Common Multiple (LCM) of 194 and 57
The least common multiple (LCM) of 194 and 57 is 11058.
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 194 and 57?
First, calculate the GCD of 194 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 57 = 3 remainder 23 |
| 2 | 57 ÷ 23 = 2 remainder 11 |
| 3 | 23 ÷ 11 = 2 remainder 1 |
| 4 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 163 | 17441 |
| 171 and 189 | 3591 |
| 163 and 109 | 17767 |
| 14 and 55 | 770 |
| 120 and 111 | 4440 |