Least Common Multiple (LCM) of 57 and 184
The least common multiple (LCM) of 57 and 184 is 10488.
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 184?
First, calculate the GCD of 57 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 57 ÷ 184 = 0 remainder 57 |
| 2 | 184 ÷ 57 = 3 remainder 13 |
| 3 | 57 ÷ 13 = 4 remainder 5 |
| 4 | 13 ÷ 5 = 2 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 158 and 145 | 22910 |
| 132 and 105 | 4620 |
| 57 and 59 | 3363 |
| 110 and 153 | 16830 |
| 183 and 110 | 20130 |