Least Common Multiple (LCM) of 57 and 174
The least common multiple (LCM) of 57 and 174 is 3306.
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 57 and 174?
First, calculate the GCD of 57 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 57 ÷ 174 = 0 remainder 57 |
| 2 | 174 ÷ 57 = 3 remainder 3 |
| 3 | 57 ÷ 3 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 175 | 4900 |
| 38 and 165 | 6270 |
| 60 and 20 | 60 |
| 139 and 180 | 25020 |
| 32 and 190 | 3040 |