Least Common Multiple (LCM) of 184 and 107
The least common multiple (LCM) of 184 and 107 is 19688.
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 107?
First, calculate the GCD of 184 and 107 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 107 = 1 remainder 77 |
| 2 | 107 ÷ 77 = 1 remainder 30 |
| 3 | 77 ÷ 30 = 2 remainder 17 |
| 4 | 30 ÷ 17 = 1 remainder 13 |
| 5 | 17 ÷ 13 = 1 remainder 4 |
| 6 | 13 ÷ 4 = 3 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 162 | 4050 |
| 136 and 87 | 11832 |
| 162 and 83 | 13446 |
| 55 and 174 | 9570 |
| 160 and 155 | 4960 |