Least Common Multiple (LCM) of 14 and 57
The least common multiple (LCM) of 14 and 57 is 798.
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 14 and 57?
First, calculate the GCD of 14 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 14 ÷ 57 = 0 remainder 14 |
| 2 | 57 ÷ 14 = 4 remainder 1 |
| 3 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 59 and 114 | 6726 |
| 68 and 198 | 6732 |
| 171 and 135 | 2565 |
| 149 and 52 | 7748 |
| 177 and 37 | 6549 |