Least Common Multiple (LCM) of 175 and 57
The least common multiple (LCM) of 175 and 57 is 9975.
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 175 and 57?
First, calculate the GCD of 175 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 57 = 3 remainder 4 |
| 2 | 57 ÷ 4 = 14 remainder 1 |
| 3 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 40 | 200 |
| 191 and 52 | 9932 |
| 199 and 136 | 27064 |
| 168 and 75 | 4200 |
| 126 and 83 | 10458 |