Least Common Multiple (LCM) of 114 and 56
The least common multiple (LCM) of 114 and 56 is 3192.
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 114 and 56?
First, calculate the GCD of 114 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 114 ÷ 56 = 2 remainder 2 |
| 2 | 56 ÷ 2 = 28 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 34 and 41 | 1394 |
| 133 and 199 | 26467 |
| 41 and 163 | 6683 |
| 80 and 76 | 1520 |
| 188 and 184 | 8648 |