Least Common Multiple (LCM) of 174 and 57
The least common multiple (LCM) of 174 and 57 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 174 and 57?
First, calculate the GCD of 174 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 57 = 3 remainder 3 |
| 2 | 57 ÷ 3 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 42 | 4200 |
| 84 and 40 | 840 |
| 134 and 127 | 17018 |
| 78 and 189 | 4914 |
| 23 and 153 | 3519 |