Least Common Multiple (LCM) of 194 and 26
The least common multiple (LCM) of 194 and 26 is 2522.
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 26?
First, calculate the GCD of 194 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 26 = 7 remainder 12 |
| 2 | 26 ÷ 12 = 2 remainder 2 |
| 3 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 86 and 105 | 9030 |
| 72 and 20 | 360 |
| 115 and 173 | 19895 |
| 200 and 149 | 29800 |
| 160 and 134 | 10720 |