Least Common Multiple (LCM) of 194 and 74
The least common multiple (LCM) of 194 and 74 is 7178.
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 74?
First, calculate the GCD of 194 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 74 = 2 remainder 46 |
| 2 | 74 ÷ 46 = 1 remainder 28 |
| 3 | 46 ÷ 28 = 1 remainder 18 |
| 4 | 28 ÷ 18 = 1 remainder 10 |
| 5 | 18 ÷ 10 = 1 remainder 8 |
| 6 | 10 ÷ 8 = 1 remainder 2 |
| 7 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 182 and 171 | 31122 |
| 132 and 189 | 8316 |
| 14 and 192 | 1344 |
| 117 and 194 | 22698 |
| 27 and 136 | 3672 |