Least Common Multiple (LCM) of 194 and 48
The least common multiple (LCM) of 194 and 48 is 4656.
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 48?
First, calculate the GCD of 194 and 48 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 48 = 4 remainder 2 |
| 2 | 48 ÷ 2 = 24 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 31 | 4185 |
| 25 and 85 | 425 |
| 54 and 178 | 4806 |
| 38 and 67 | 2546 |
| 129 and 19 | 2451 |