Least Common Multiple (LCM) of 194 and 141
The least common multiple (LCM) of 194 and 141 is 27354.
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 141?
First, calculate the GCD of 194 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 141 = 1 remainder 53 |
| 2 | 141 ÷ 53 = 2 remainder 35 |
| 3 | 53 ÷ 35 = 1 remainder 18 |
| 4 | 35 ÷ 18 = 1 remainder 17 |
| 5 | 18 ÷ 17 = 1 remainder 1 |
| 6 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 84 | 8652 |
| 104 and 110 | 5720 |
| 38 and 137 | 5206 |
| 175 and 141 | 24675 |
| 175 and 71 | 12425 |