Least Common Multiple (LCM) of 194 and 69
The least common multiple (LCM) of 194 and 69 is 13386.
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 69?
First, calculate the GCD of 194 and 69 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 69 = 2 remainder 56 |
| 2 | 69 ÷ 56 = 1 remainder 13 |
| 3 | 56 ÷ 13 = 4 remainder 4 |
| 4 | 13 ÷ 4 = 3 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 73 | 9198 |
| 118 and 173 | 20414 |
| 180 and 11 | 1980 |
| 21 and 89 | 1869 |
| 194 and 129 | 25026 |