Least Common Multiple (LCM) of 194 and 133
The least common multiple (LCM) of 194 and 133 is 25802.
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 133?
First, calculate the GCD of 194 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 133 = 1 remainder 61 |
| 2 | 133 ÷ 61 = 2 remainder 11 |
| 3 | 61 ÷ 11 = 5 remainder 6 |
| 4 | 11 ÷ 6 = 1 remainder 5 |
| 5 | 6 ÷ 5 = 1 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 185 | 24420 |
| 149 and 174 | 25926 |
| 65 and 108 | 7020 |
| 72 and 97 | 6984 |
| 194 and 137 | 26578 |