Least Common Multiple (LCM) of 57 and 53
The least common multiple (LCM) of 57 and 53 is 3021.
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 53?
First, calculate the GCD of 57 and 53 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 57 ÷ 53 = 1 remainder 4 |
| 2 | 53 ÷ 4 = 13 remainder 1 |
| 3 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 128 | 6528 |
| 25 and 106 | 2650 |
| 74 and 171 | 12654 |
| 199 and 39 | 7761 |
| 173 and 14 | 2422 |