Least Common Multiple (LCM) of 184 and 53
The least common multiple (LCM) of 184 and 53 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 184 and 53?
First, calculate the GCD of 184 and 53 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 53 = 3 remainder 25 |
| 2 | 53 ÷ 25 = 2 remainder 3 |
| 3 | 25 ÷ 3 = 8 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 142 | 7242 |
| 49 and 158 | 7742 |
| 138 and 87 | 4002 |
| 51 and 136 | 408 |
| 153 and 85 | 765 |