Least Common Multiple (LCM) of 94 and 54
The least common multiple (LCM) of 94 and 54 is 2538.
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 94 and 54?
First, calculate the GCD of 94 and 54 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 54 = 1 remainder 40 |
| 2 | 54 ÷ 40 = 1 remainder 14 |
| 3 | 40 ÷ 14 = 2 remainder 12 |
| 4 | 14 ÷ 12 = 1 remainder 2 |
| 5 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 86 and 28 | 1204 |
| 126 and 100 | 6300 |
| 144 and 155 | 22320 |
| 91 and 159 | 14469 |
| 45 and 179 | 8055 |