Least Common Multiple (LCM) of 184 and 191
The least common multiple (LCM) of 184 and 191 is 35144.
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 191?
First, calculate the GCD of 184 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 191 = 0 remainder 184 |
| 2 | 191 ÷ 184 = 1 remainder 7 |
| 3 | 184 ÷ 7 = 26 remainder 2 |
| 4 | 7 ÷ 2 = 3 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 139 and 92 | 12788 |
| 188 and 136 | 6392 |
| 107 and 123 | 13161 |
| 133 and 155 | 20615 |
| 30 and 150 | 150 |