Least Common Multiple (LCM) of 50 and 94
The least common multiple (LCM) of 50 and 94 is 2350.
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 50 and 94?
First, calculate the GCD of 50 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 50 ÷ 94 = 0 remainder 50 |
| 2 | 94 ÷ 50 = 1 remainder 44 |
| 3 | 50 ÷ 44 = 1 remainder 6 |
| 4 | 44 ÷ 6 = 7 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 14 | 238 |
| 197 and 103 | 20291 |
| 187 and 78 | 14586 |
| 68 and 101 | 6868 |
| 76 and 133 | 532 |