Least Common Multiple (LCM) of 194 and 51
The least common multiple (LCM) of 194 and 51 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 51?
First, calculate the GCD of 194 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 51 = 3 remainder 41 |
| 2 | 51 ÷ 41 = 1 remainder 10 |
| 3 | 41 ÷ 10 = 4 remainder 1 |
| 4 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 10 | 1690 |
| 196 and 70 | 980 |
| 71 and 121 | 8591 |
| 182 and 170 | 15470 |
| 19 and 112 | 2128 |