Least Common Multiple (LCM) of 184 and 101
The least common multiple (LCM) of 184 and 101 is 18584.
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 101?
First, calculate the GCD of 184 and 101 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 101 = 1 remainder 83 |
| 2 | 101 ÷ 83 = 1 remainder 18 |
| 3 | 83 ÷ 18 = 4 remainder 11 |
| 4 | 18 ÷ 11 = 1 remainder 7 |
| 5 | 11 ÷ 7 = 1 remainder 4 |
| 6 | 7 ÷ 4 = 1 remainder 3 |
| 7 | 4 ÷ 3 = 1 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 38 | 2394 |
| 14 and 188 | 1316 |
| 25 and 59 | 1475 |
| 15 and 158 | 2370 |
| 130 and 124 | 8060 |