Least Common Multiple (LCM) of 184 and 127
The least common multiple (LCM) of 184 and 127 is 23368.
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 127?
First, calculate the GCD of 184 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 127 = 1 remainder 57 |
| 2 | 127 ÷ 57 = 2 remainder 13 |
| 3 | 57 ÷ 13 = 4 remainder 5 |
| 4 | 13 ÷ 5 = 2 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 94 | 9400 |
| 164 and 10 | 820 |
| 181 and 104 | 18824 |
| 71 and 186 | 13206 |
| 137 and 64 | 8768 |