Least Common Multiple (LCM) of 194 and 66
The least common multiple (LCM) of 194 and 66 is 6402.
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 66?
First, calculate the GCD of 194 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 66 = 2 remainder 62 |
| 2 | 66 ÷ 62 = 1 remainder 4 |
| 3 | 62 ÷ 4 = 15 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 190 and 182 | 17290 |
| 169 and 55 | 9295 |
| 192 and 137 | 26304 |
| 52 and 149 | 7748 |
| 121 and 46 | 5566 |