Least Common Multiple (LCM) of 194 and 169
The least common multiple (LCM) of 194 and 169 is 32786.
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 169?
First, calculate the GCD of 194 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 169 = 1 remainder 25 |
| 2 | 169 ÷ 25 = 6 remainder 19 |
| 3 | 25 ÷ 19 = 1 remainder 6 |
| 4 | 19 ÷ 6 = 3 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 29 | 5423 |
| 142 and 94 | 6674 |
| 173 and 97 | 16781 |
| 183 and 24 | 1464 |
| 145 and 69 | 10005 |