Least Common Multiple (LCM) of 107 and 57
The least common multiple (LCM) of 107 and 57 is 6099.
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 107 and 57?
First, calculate the GCD of 107 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 107 ÷ 57 = 1 remainder 50 |
| 2 | 57 ÷ 50 = 1 remainder 7 |
| 3 | 50 ÷ 7 = 7 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 57 | 10317 |
| 70 and 42 | 210 |
| 163 and 27 | 4401 |
| 174 and 195 | 11310 |
| 149 and 71 | 10579 |