Least Common Multiple (LCM) of 184 and 111
The least common multiple (LCM) of 184 and 111 is 20424.
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 111?
First, calculate the GCD of 184 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 111 = 1 remainder 73 |
| 2 | 111 ÷ 73 = 1 remainder 38 |
| 3 | 73 ÷ 38 = 1 remainder 35 |
| 4 | 38 ÷ 35 = 1 remainder 3 |
| 5 | 35 ÷ 3 = 11 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 133 | 7182 |
| 132 and 119 | 15708 |
| 117 and 67 | 7839 |
| 159 and 49 | 7791 |
| 109 and 121 | 13189 |