Least Common Multiple (LCM) of 194 and 182
The least common multiple (LCM) of 194 and 182 is 17654.
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 182?
First, calculate the GCD of 194 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 182 = 1 remainder 12 |
| 2 | 182 ÷ 12 = 15 remainder 2 |
| 3 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 47 | 799 |
| 59 and 51 | 3009 |
| 151 and 30 | 4530 |
| 149 and 62 | 9238 |
| 108 and 160 | 4320 |