Least Common Multiple (LCM) of 194 and 99
The least common multiple (LCM) of 194 and 99 is 19206.
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 99?
First, calculate the GCD of 194 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 99 = 1 remainder 95 |
| 2 | 99 ÷ 95 = 1 remainder 4 |
| 3 | 95 ÷ 4 = 23 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 187 | 36839 |
| 56 and 111 | 6216 |
| 65 and 133 | 8645 |
| 200 and 131 | 26200 |
| 145 and 189 | 27405 |