Least Common Multiple (LCM) of 53 and 184
The least common multiple (LCM) of 53 and 184 is 9752.
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 53 and 184?
First, calculate the GCD of 53 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 53 ÷ 184 = 0 remainder 53 |
| 2 | 184 ÷ 53 = 3 remainder 25 |
| 3 | 53 ÷ 25 = 2 remainder 3 |
| 4 | 25 ÷ 3 = 8 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 16 and 198 | 1584 |
| 61 and 59 | 3599 |
| 178 and 18 | 1602 |
| 200 and 41 | 8200 |
| 134 and 112 | 7504 |