Least Common Multiple (LCM) of 94 and 114
The least common multiple (LCM) of 94 and 114 is 5358.
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 114?
First, calculate the GCD of 94 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 114 = 0 remainder 94 |
| 2 | 114 ÷ 94 = 1 remainder 20 |
| 3 | 94 ÷ 20 = 4 remainder 14 |
| 4 | 20 ÷ 14 = 1 remainder 6 |
| 5 | 14 ÷ 6 = 2 remainder 2 |
| 6 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 193 | 26248 |
| 24 and 40 | 120 |
| 91 and 145 | 13195 |
| 161 and 178 | 28658 |
| 53 and 128 | 6784 |