Least Common Multiple (LCM) of 184 and 112
The least common multiple (LCM) of 184 and 112 is 2576.
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 112?
First, calculate the GCD of 184 and 112 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 112 = 1 remainder 72 |
| 2 | 112 ÷ 72 = 1 remainder 40 |
| 3 | 72 ÷ 40 = 1 remainder 32 |
| 4 | 40 ÷ 32 = 1 remainder 8 |
| 5 | 32 ÷ 8 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 155 and 69 | 10695 |
| 118 and 53 | 6254 |
| 45 and 49 | 2205 |
| 35 and 149 | 5215 |
| 68 and 185 | 12580 |