Least Common Multiple (LCM) of 114 and 57
The least common multiple (LCM) of 114 and 57 is 114.
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 57?
First, calculate the GCD of 114 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 114 ÷ 57 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 185 and 135 | 4995 |
| 114 and 24 | 456 |
| 61 and 54 | 3294 |
| 27 and 75 | 675 |
| 23 and 134 | 3082 |