Least Common Multiple (LCM) of 194 and 22
The least common multiple (LCM) of 194 and 22 is 2134.
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 22?
First, calculate the GCD of 194 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 22 = 8 remainder 18 |
| 2 | 22 ÷ 18 = 1 remainder 4 |
| 3 | 18 ÷ 4 = 4 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 92 | 7636 |
| 133 and 193 | 25669 |
| 122 and 165 | 20130 |
| 131 and 184 | 24104 |
| 112 and 87 | 9744 |