Least Common Multiple (LCM) of 194 and 102
The least common multiple (LCM) of 194 and 102 is 9894.
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 102?
First, calculate the GCD of 194 and 102 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 102 = 1 remainder 92 |
| 2 | 102 ÷ 92 = 1 remainder 10 |
| 3 | 92 ÷ 10 = 9 remainder 2 |
| 4 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 19 | 3534 |
| 200 and 50 | 200 |
| 106 and 98 | 5194 |
| 20 and 81 | 1620 |
| 190 and 48 | 4560 |