Least Common Multiple (LCM) of 47 and 94
The least common multiple (LCM) of 47 and 94 is 94.
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 47 and 94?
First, calculate the GCD of 47 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 47 ÷ 94 = 0 remainder 47 |
| 2 | 94 ÷ 47 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 37 | 6438 |
| 78 and 49 | 3822 |
| 183 and 38 | 6954 |
| 115 and 25 | 575 |
| 180 and 96 | 1440 |