Least Common Multiple (LCM) of 194 and 61
The least common multiple (LCM) of 194 and 61 is 11834.
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 61?
First, calculate the GCD of 194 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 61 = 3 remainder 11 |
| 2 | 61 ÷ 11 = 5 remainder 6 |
| 3 | 11 ÷ 6 = 1 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 16 and 138 | 1104 |
| 167 and 25 | 4175 |
| 65 and 177 | 11505 |
| 21 and 59 | 1239 |
| 43 and 61 | 2623 |