Least Common Multiple (LCM) of 184 and 52
The least common multiple (LCM) of 184 and 52 is 2392.
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 52?
First, calculate the GCD of 184 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 52 = 3 remainder 28 |
| 2 | 52 ÷ 28 = 1 remainder 24 |
| 3 | 28 ÷ 24 = 1 remainder 4 |
| 4 | 24 ÷ 4 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 41 and 89 | 3649 |
| 39 and 73 | 2847 |
| 60 and 96 | 480 |
| 77 and 162 | 12474 |
| 160 and 87 | 13920 |