Least Common Multiple (LCM) of 194 and 135
The least common multiple (LCM) of 194 and 135 is 26190.
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 135?
First, calculate the GCD of 194 and 135 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 135 = 1 remainder 59 |
| 2 | 135 ÷ 59 = 2 remainder 17 |
| 3 | 59 ÷ 17 = 3 remainder 8 |
| 4 | 17 ÷ 8 = 2 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 156 and 156 | 156 |
| 155 and 127 | 19685 |
| 165 and 131 | 21615 |
| 10 and 91 | 910 |
| 199 and 123 | 24477 |