Least Common Multiple (LCM) of 57 and 55
The least common multiple (LCM) of 57 and 55 is 3135.
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 55?
First, calculate the GCD of 57 and 55 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 57 ÷ 55 = 1 remainder 2 |
| 2 | 55 ÷ 2 = 27 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 69 | 9177 |
| 174 and 104 | 9048 |
| 41 and 186 | 7626 |
| 139 and 111 | 15429 |
| 31 and 56 | 1736 |