Least Common Multiple (LCM) of 194 and 43
The least common multiple (LCM) of 194 and 43 is 8342.
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 43?
First, calculate the GCD of 194 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 43 = 4 remainder 22 |
| 2 | 43 ÷ 22 = 1 remainder 21 |
| 3 | 22 ÷ 21 = 1 remainder 1 |
| 4 | 21 ÷ 1 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 61 and 115 | 7015 |
| 156 and 81 | 4212 |
| 97 and 67 | 6499 |
| 185 and 88 | 16280 |
| 75 and 171 | 4275 |