Least Common Multiple (LCM) of 194 and 58
The least common multiple (LCM) of 194 and 58 is 5626.
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 58?
First, calculate the GCD of 194 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 58 = 3 remainder 20 |
| 2 | 58 ÷ 20 = 2 remainder 18 |
| 3 | 20 ÷ 18 = 1 remainder 2 |
| 4 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 92 and 55 | 5060 |
| 176 and 115 | 20240 |
| 15 and 57 | 285 |
| 116 and 80 | 2320 |
| 49 and 98 | 98 |