Least Common Multiple (LCM) of 94 and 134
The least common multiple (LCM) of 94 and 134 is 6298.
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 134?
First, calculate the GCD of 94 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 134 = 0 remainder 94 |
| 2 | 134 ÷ 94 = 1 remainder 40 |
| 3 | 94 ÷ 40 = 2 remainder 14 |
| 4 | 40 ÷ 14 = 2 remainder 12 |
| 5 | 14 ÷ 12 = 1 remainder 2 |
| 6 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 23 and 78 | 1794 |
| 57 and 175 | 9975 |
| 129 and 102 | 4386 |
| 139 and 133 | 18487 |
| 17 and 193 | 3281 |